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Finding the Fourth Proportional to 3,998.13, 5,517.46 and 2,229.86

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Solution

The fourth proportional to 3,998.13, 5,517.46 and 2,229.86 is: 3,077.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,998.13 : 5,517.46 = 2,229.86 : x
  2. Step 2: Convert to fraction form
    3,998.13/5,517.46 = 2,229.86/x
  3. Step 3: Cross multiply
    3,998.13x = 5,517.46 × 2,229.86
  4. Step 4: Simplify right side
    3,998.13x = 12,303,163.36
  5. Step 5: Solve for x
    x = 12,303,163.36/3,998.13
  6. Step 6: Final answer
    x = 3,077.23

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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.