It will be very hard for westham to finish in the fourth position because the team ahead of them(Tottenham, arsenal and Manchester United) have a better squad than them and more depth than them
Even I doubt if Westham can finish in 6th place at the end of the season. Westham performance looks decreasing gradually, sadly they must play with strong teams in the last few matches. After they got some draws playing against Leicester City and Newcastle, they got 0 points in 2 next matches. It is the reason why their position dropped so much to 7th place. I assume Westham only can win when they play against weak teams, it is proven that they lost 2 times against Tottenham and Liverpool lately. Unfortunately, they cannot maintain their solid playing as in the early season. While Arsenal, Tottenham, and Man United can improve their performance. So, it is difficult for Westham to rise up again to the top 5.
West Ham will be hard to come up with again. there is even a possibility that they could drop to 8th position. Their performance is not good, especially since West Ham has also played 30 times while the teams above them have only played 29 matches. Chelsea and Arsenal have only played 28 games. chances to go up I think it will be difficult for West Ham. while the big 6 battle continues and I'm sure it will be more and more interesting.