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Finding the Fourth Proportional to 3,930.87, 5,896.68 and 1,465.11

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Solution

The fourth proportional to 3,930.87, 5,896.68 and 1,465.11 is: 2,197.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,930.87 : 5,896.68 = 1,465.11 : x
  2. Step 2: Convert to fraction form
    3,930.87/5,896.68 = 1,465.11/x
  3. Step 3: Cross multiply
    3,930.87x = 5,896.68 × 1,465.11
  4. Step 4: Simplify right side
    3,930.87x = 8,639,284.83
  5. Step 5: Solve for x
    x = 8,639,284.83/3,930.87
  6. Step 6: Final answer
    x = 2,197.80

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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.