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Finding the Fourth Proportional to 5,163.72, 7,747.28 and 1,654.24

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Solution

The fourth proportional to 5,163.72, 7,747.28 and 1,654.24 is: 2,481.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,163.72 : 7,747.28 = 1,654.24 : x
  2. Step 2: Convert to fraction form
    5,163.72/7,747.28 = 1,654.24/x
  3. Step 3: Cross multiply
    5,163.72x = 7,747.28 × 1,654.24
  4. Step 4: Simplify right side
    5,163.72x = 12,815,860.47
  5. Step 5: Solve for x
    x = 12,815,860.47/5,163.72
  6. Step 6: Final answer
    x = 2,481.90

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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.