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Finding the Fourth Proportional to 3,442.52, 5,162.15 and 1,593.09

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Solution

The fourth proportional to 3,442.52, 5,162.15 and 1,593.09 is: 2,388.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,442.52 : 5,162.15 = 1,593.09 : x
  2. Step 2: Convert to fraction form
    3,442.52/5,162.15 = 1,593.09/x
  3. Step 3: Cross multiply
    3,442.52x = 5,162.15 × 1,593.09
  4. Step 4: Simplify right side
    3,442.52x = 8,223,773.53
  5. Step 5: Solve for x
    x = 8,223,773.53/3,442.52
  6. Step 6: Final answer
    x = 2,388.88

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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.