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Finding the Fourth Proportional to 5,387.72, 7,434.14 and 2,997.38

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Solution

The fourth proportional to 5,387.72, 7,434.14 and 2,997.38 is: 4,135.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,387.72 : 7,434.14 = 2,997.38 : x
  2. Step 2: Convert to fraction form
    5,387.72/7,434.14 = 2,997.38/x
  3. Step 3: Cross multiply
    5,387.72x = 7,434.14 × 2,997.38
  4. Step 4: Simplify right side
    5,387.72x = 22,282,942.55
  5. Step 5: Solve for x
    x = 22,282,942.55/5,387.72
  6. Step 6: Final answer
    x = 4,135.88

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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.