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Finding the Fourth Proportional to 3,732.32, 5,147.94 and 3,168.88

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Solution

The fourth proportional to 3,732.32, 5,147.94 and 3,168.88 is: 4,370.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,732.32 : 5,147.94 = 3,168.88 : x
  2. Step 2: Convert to fraction form
    3,732.32/5,147.94 = 3,168.88/x
  3. Step 3: Cross multiply
    3,732.32x = 5,147.94 × 3,168.88
  4. Step 4: Simplify right side
    3,732.32x = 16,313,191.24
  5. Step 5: Solve for x
    x = 16,313,191.24/3,732.32
  6. Step 6: Final answer
    x = 4,370.80

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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.