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Finding the Fourth Proportional to 5,614.31, 7,747.45 and 3,375.68

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Solution

The fourth proportional to 5,614.31, 7,747.45 and 3,375.68 is: 4,658.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,614.31 : 7,747.45 = 3,375.68 : x
  2. Step 2: Convert to fraction form
    5,614.31/7,747.45 = 3,375.68/x
  3. Step 3: Cross multiply
    5,614.31x = 7,747.45 × 3,375.68
  4. Step 4: Simplify right side
    5,614.31x = 26,152,864.84
  5. Step 5: Solve for x
    x = 26,152,864.84/5,614.31
  6. Step 6: Final answer
    x = 4,658.25

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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.