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Finding the Fourth Proportional to 3,998.34, 5,517.72 and 2,229.94

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Solution

The fourth proportional to 3,998.34, 5,517.72 and 2,229.94 is: 3,077.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,998.34 : 5,517.72 = 2,229.94 : x
  2. Step 2: Convert to fraction form
    3,998.34/5,517.72 = 2,229.94/x
  3. Step 3: Cross multiply
    3,998.34x = 5,517.72 × 2,229.94
  4. Step 4: Simplify right side
    3,998.34x = 12,304,191.43
  5. Step 5: Solve for x
    x = 12,304,191.43/3,998.34
  6. Step 6: Final answer
    x = 3,077.32

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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.