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Finding the Fourth Proportional to 3,937.74, 5,432.04 and 3,192.54

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Solution

The fourth proportional to 3,937.74, 5,432.04 and 3,192.54 is: 4,404.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,937.74 : 5,432.04 = 3,192.54 : x
  2. Step 2: Convert to fraction form
    3,937.74/5,432.04 = 3,192.54/x
  3. Step 3: Cross multiply
    3,937.74x = 5,432.04 × 3,192.54
  4. Step 4: Simplify right side
    3,937.74x = 17,342,004.98
  5. Step 5: Solve for x
    x = 17,342,004.98/3,937.74
  6. Step 6: Final answer
    x = 4,404.05

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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.