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.

Example Input: 3, 7, ['1811', 'Z', 'C', 'x', '6171', 'W', 'N', 'L', 'h', '4497']
Example Output: 6171

Example Input: 2, 5, ['4487', '3761', '159', '7459', '6781', '2403', 'S', '3079', '7161']
Example Output: 18160

Example Input: 4, 7, ['3701', '6925', '3525', 'K', '3793', '7431', 'h', 's']
Example Output:
11224