Arsenal, West Ham, Tottenham and Manchester United still have a chance to finish in the top 4 and qualify for the Champions League next season. It will probably be an interesting race until the end of the season, and it would be great if they could do it.
I'd say Arsenal or Spurs have to be favourites for fourth. West Ham may be fourth at the moment, but they're a point clear of Arsenal having played two games more. And two games for a team near the top of the table is often 4 or 6 points. Spurs are 3 behind Arsenal, with a further game in hand.
So for West Ham I think their position is a bit of an illusion. As for Man U, they are slowly imploding and I can't see them maintaining the required consistency over a run of games.
Arsenal and Spurs fourth and fifth, in whatever order.
And then if you're talking about sixth and seventh, you'd have to bring Wolves into the equation too, 6 points behind West Ham with 2 games in hand.