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Finding the Fourth Proportional to 3,998.16, 5,517.28 and 2,229.96

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Solution

The fourth proportional to 3,998.16, 5,517.28 and 2,229.96 is: 3,077.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,998.16 : 5,517.28 = 2,229.96 : x
  2. Step 2: Convert to fraction form
    3,998.16/5,517.28 = 2,229.96/x
  3. Step 3: Cross multiply
    3,998.16x = 5,517.28 × 2,229.96
  4. Step 4: Simplify right side
    3,998.16x = 12,303,313.71
  5. Step 5: Solve for x
    x = 12,303,313.71/3,998.16
  6. Step 6: Final answer
    x = 3,077.24

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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.