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Finding the Fourth Proportional to 3,998.40, 5,517.59 and 2,229.66

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Solution

The fourth proportional to 3,998.40, 5,517.59 and 2,229.66 is: 3,076.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,998.40 : 5,517.59 = 2,229.66 : x
  2. Step 2: Convert to fraction form
    3,998.40/5,517.59 = 2,229.66/x
  3. Step 3: Cross multiply
    3,998.40x = 5,517.59 × 2,229.66
  4. Step 4: Simplify right side
    3,998.40x = 12,302,338.57
  5. Step 5: Solve for x
    x = 12,302,338.57/3,998.40
  6. Step 6: Final answer
    x = 3,076.82

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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.