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Finding the Fourth Proportional to 5,592.38, 7,717.68 and 3,202.78

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Solution

The fourth proportional to 5,592.38, 7,717.68 and 3,202.78 is: 4,419.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,592.38 : 7,717.68 = 3,202.78 : x
  2. Step 2: Convert to fraction form
    5,592.38/7,717.68 = 3,202.78/x
  3. Step 3: Cross multiply
    5,592.38x = 7,717.68 × 3,202.78
  4. Step 4: Simplify right side
    5,592.38x = 24,718,031.15
  5. Step 5: Solve for x
    x = 24,718,031.15/5,592.38
  6. Step 6: Final answer
    x = 4,419.95

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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.