Everton now trail fourth-placed Arsenal by just a point after beating the Gunners 3-0 at Goodison Park, and have a game in hand over Arsene Wenger's side as they look to secure Champions League football next season.
Steven Naismith capitalised on poor Arsenal defending to give Everton the lead after 14 minutes. Leighton Baines had picked out Romelu Lukaku with a great ball from the left, but with Lukaku's shot parried by Wojciech Szczesny Naismith was on hand to slot the ball into the net.
Lukaku then doubled Everton's advantage in the 34th minute as Arsenal made it far too easy for the powerful Belgian to score.
Lukaku collected the ball from the right wing from Kevin Mirallas' pass, and after running at Nacho Monreal then ghosted past Arsenal captain Thomas Vermaelen to hammer his shot beyond Szczesny for Everton's second. He celebrated his goal by running towards his manager Roberto Martinez and jumping on him.
Mirallas was involved in the third goal for Everton, with former Toffee Mikel Arteta getting the final touch and being credited with the own goal after attempting to tackle the winger.
For 16 successive years Wenger's side have taken their place alongside Europe's elite and, while they have a more favourable run-in than the Toffees, they are now reliant on other results if they are to reach next season's competition.
Everton played their visitors off the park in a performance reminiscent of the lessons Wenger's side used to hand out to opponents, but Arsenal's weak spot has always been their soft underbelly and it was brilliantly exploited at Goodison Park as Everton were tenacious, incisive and just plainly better in every department.
Goalkeeper Tim Howard is Mr Reliable, ageless centre-back Sylvain Distin continues to churn out classy performances, Gareth Barry bestrides central midfield with a simplicity and calmness which allows young tyro Ross Barkley to terrorise further forward while the Lukaku provides a cutting edge up front.
That two of those players are only on loan is a debate for another day. After this performance it is difficult not to talk up Everton's chances of qualifying for the Champions League for only the second time in their history.
It was difficult to argue with Martinez's tactics, which saw him switch to 4-3-3 with Lukaku unusually stationed on the right wing to target Monreal, who was replacing injured left-back Kieran Gibbs.
However, even the best managers need a stroke of luck.
Leon Osman, who had looped Everton's first shot of the match just past Szczesny's left-hand post, got in a tangle with Bacary Sagna, resulting in a gash that opened up after appearing to catch a boot in the face.
It forced Osman's immediate exit down the tunnel after just nine minutes, but brought Barkley to the fore in a more disciplined role on the left than he has been used to playing under Martinez.
However, with Barry providing support behind, the 20-year-old was still able to express himself and was instantly installed as the focal point of Everton's attacking play.
The goal, however, came from Arsenal's inability - or unwillingness - to engage opponents.
Baines was allowed to carry the ball 30 yards into enemy territory unchallenged and with that amount of time he picked out Lukaku with a low cross. Although the Belgium striker was denied by Szczesny, Naismith - who seems to have become Martinez's lucky charm - was in the right place at the right time to ram home the rebound.
One Barkley through-ball caused panic in Arsenal's defence but Mirallas could only shoot weakly while another sent Baines away down the left to create a chance for James McCarthy.
Martinez's ploy to expose Monreal down the other flank saw the Gunners defender give up the chase with Lukaku and call for Szczesny to race out of his area and clear.
Barkley continued to torment the visitors and after numerous step-overs hit an angled shot that was kept out by the goalkeeper's legs, with Mirallas also forcing a save near down at the same right-hand post.
Arsenal were cut open again just after the half-hour when Everton sliced their way through central midfield, with Naismith and Mirallas combining to release Lukaku on the right. Again Monreal, Vermaelen and Per Mertesacker stood off as he cut inside and the striker took full advantage to smash home left-footed.
Lukaku's celebration with Martinez on the touchline spoke volumes about the way the players have so wholeheartedly embraced the Spaniard's change in philosophy since replacing David Moyes in the summer.
The closest Arsenal came to a first-half reply saw Howard superbly tip over Lukas Podolski's dipping half-volley, but there was little else to enthuse over.
Everton, on the other hand, were rampant and midway through the second half applied the killer blow.
Mirallas broke from deep and although Szczesny just got to the ball before Naismith, it rebounded back in front of goal where former Toffees midfielder Arteta, under pressure from Mirallas, turned it into his own net.
Substitute Alex Oxlade-Chamberlain's shot against the crossbar late on seemed merely like Arsenal raging against the dying of the light.