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Finding the Fourth Proportional to 3,998.43, 5,517.68 and 2,230.00

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Solution

The fourth proportional to 3,998.43, 5,517.68 and 2,230.00 is: 3,077.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,998.43 : 5,517.68 = 2,230.00 : x
  2. Step 2: Convert to fraction form
    3,998.43/5,517.68 = 2,230.00/x
  3. Step 3: Cross multiply
    3,998.43x = 5,517.68 × 2,230.00
  4. Step 4: Simplify right side
    3,998.43x = 12,304,401.46
  5. Step 5: Solve for x
    x = 12,304,401.46/3,998.43
  6. Step 6: Final answer
    x = 3,077.31

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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.