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.
4, 6, ['f', 'Y', 'Q', '2833', '4489', 'z', '1881', 'd', '3745', '139', 'L', '489', '5271']