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Finding the Fourth Proportional to 3,432.78, 4,757.17 and 3,367.14

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Solution

The fourth proportional to 3,432.78, 4,757.17 and 3,367.14 is: 4,666.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,432.78 : 4,757.17 = 3,367.14 : x
  2. Step 2: Convert to fraction form
    3,432.78/4,757.17 = 3,367.14/x
  3. Step 3: Cross multiply
    3,432.78x = 4,757.17 × 3,367.14
  4. Step 4: Simplify right side
    3,432.78x = 16,018,057.39
  5. Step 5: Solve for x
    x = 16,018,057.39/3,432.78
  6. Step 6: Final answer
    x = 4,666.21

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.