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Finding the Fourth Proportional to 5,169.52, 7,743.48 and 3,432.88

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Solution

The fourth proportional to 5,169.52, 7,743.48 and 3,432.88 is: 5,142.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,169.52 : 7,743.48 = 3,432.88 : x
  2. Step 2: Convert to fraction form
    5,169.52/7,743.48 = 3,432.88/x
  3. Step 3: Cross multiply
    5,169.52x = 7,743.48 × 3,432.88
  4. Step 4: Simplify right side
    5,169.52x = 26,582,437.62
  5. Step 5: Solve for x
    x = 26,582,437.62/5,169.52
  6. Step 6: Final answer
    x = 5,142.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.