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Finding the Fourth Proportional to 3,712.57, 5,560.83 and 3,494.47

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Solution

The fourth proportional to 3,712.57, 5,560.83 and 3,494.47 is: 5,234.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,712.57 : 5,560.83 = 3,494.47 : x
  2. Step 2: Convert to fraction form
    3,712.57/5,560.83 = 3,494.47/x
  3. Step 3: Cross multiply
    3,712.57x = 5,560.83 × 3,494.47
  4. Step 4: Simplify right side
    3,712.57x = 19,432,153.61
  5. Step 5: Solve for x
    x = 19,432,153.61/3,712.57
  6. Step 6: Final answer
    x = 5,234.15

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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.