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Finding the Fourth Proportional to 5,705.92, 8,542.68 and 3,752.20

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Solution

The fourth proportional to 5,705.92, 8,542.68 and 3,752.20 is: 5,617.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,705.92 : 8,542.68 = 3,752.20 : x
  2. Step 2: Convert to fraction form
    5,705.92/8,542.68 = 3,752.20/x
  3. Step 3: Cross multiply
    5,705.92x = 8,542.68 × 3,752.20
  4. Step 4: Simplify right side
    5,705.92x = 32,053,843.90
  5. Step 5: Solve for x
    x = 32,053,843.90/5,705.92
  6. Step 6: Final answer
    x = 5,617.65

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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.