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Finding the Fourth Proportional to 3,432.64, 5,147.00 and 1,092.19

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Solution

The fourth proportional to 3,432.64, 5,147.00 and 1,092.19 is: 1,637.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,432.64 : 5,147.00 = 1,092.19 : x
  2. Step 2: Convert to fraction form
    3,432.64/5,147.00 = 1,092.19/x
  3. Step 3: Cross multiply
    3,432.64x = 5,147.00 × 1,092.19
  4. Step 4: Simplify right side
    3,432.64x = 5,621,470.73
  5. Step 5: Solve for x
    x = 5,621,470.73/3,432.64
  6. Step 6: Final answer
    x = 1,637.65

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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.