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Finding the Fourth Proportional to 3,902.80, 5,390.92 and 3,161.68

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Solution

The fourth proportional to 3,902.80, 5,390.92 and 3,161.68 is: 4,367.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,902.80 : 5,390.92 = 3,161.68 : x
  2. Step 2: Convert to fraction form
    3,902.80/5,390.92 = 3,161.68/x
  3. Step 3: Cross multiply
    3,902.80x = 5,390.92 × 3,161.68
  4. Step 4: Simplify right side
    3,902.80x = 17,044,363.95
  5. Step 5: Solve for x
    x = 17,044,363.95/3,902.80
  6. Step 6: Final answer
    x = 4,367.21

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.