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Finding the Fourth Proportional to 3,507.92, 5,260.98 and 1,042.17

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Solution

The fourth proportional to 3,507.92, 5,260.98 and 1,042.17 is: 1,562.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,507.92 : 5,260.98 = 1,042.17 : x
  2. Step 2: Convert to fraction form
    3,507.92/5,260.98 = 1,042.17/x
  3. Step 3: Cross multiply
    3,507.92x = 5,260.98 × 1,042.17
  4. Step 4: Simplify right side
    3,507.92x = 5,482,835.53
  5. Step 5: Solve for x
    x = 5,482,835.53/3,507.92
  6. Step 6: Final answer
    x = 1,562.99

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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.