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Finding the Fourth Proportional to 3,935.40, 5,901.72 and 1,745.68

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Solution

The fourth proportional to 3,935.40, 5,901.72 and 1,745.68 is: 2,617.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,935.40 : 5,901.72 = 1,745.68 : x
  2. Step 2: Convert to fraction form
    3,935.40/5,901.72 = 1,745.68/x
  3. Step 3: Cross multiply
    3,935.40x = 5,901.72 × 1,745.68
  4. Step 4: Simplify right side
    3,935.40x = 10,302,514.57
  5. Step 5: Solve for x
    x = 10,302,514.57/3,935.40
  6. Step 6: Final answer
    x = 2,617.91

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.