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Finding the Fourth Proportional to 5,463.89, 7,543.12 and 3,339.91

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Solution

The fourth proportional to 5,463.89, 7,543.12 and 3,339.91 is: 4,610.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,463.89 : 7,543.12 = 3,339.91 : x
  2. Step 2: Convert to fraction form
    5,463.89/7,543.12 = 3,339.91/x
  3. Step 3: Cross multiply
    5,463.89x = 7,543.12 × 3,339.91
  4. Step 4: Simplify right side
    5,463.89x = 25,193,304.20
  5. Step 5: Solve for x
    x = 25,193,304.20/5,463.89
  6. Step 6: Final answer
    x = 4,610.88

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Why These Related Problems?

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