In this task, you are given inputs i,j, and A, where i and j are integers and A is a list. You need to return the sum of all the numerical elements in the list A between the positions i and j (including positions i and j). Return 0 if no numerical element is present in the list between the given ranges. i and j will be non-negative, and will always have a value less than the length of A. i will always be less than j.
1, 4, ['5289', '6205', 'B', 'i', 'Y', '2527', '9127', '3751', '1175', 'U', 'f', '1641', '7725', '7013', '7593', '7983', '4879', 'v', 'b']