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Finding the Fourth Proportional to 4,147.32, 5,724.24 and 2,824.20

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Solution

The fourth proportional to 4,147.32, 5,724.24 and 2,824.20 is: 3,898.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,147.32 : 5,724.24 = 2,824.20 : x
  2. Step 2: Convert to fraction form
    4,147.32/5,724.24 = 2,824.20/x
  3. Step 3: Cross multiply
    4,147.32x = 5,724.24 × 2,824.20
  4. Step 4: Simplify right side
    4,147.32x = 16,166,398.61
  5. Step 5: Solve for x
    x = 16,166,398.61/4,147.32
  6. Step 6: Final answer
    x = 3,898.04

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.