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Finding the Fourth Proportional to 3,998, 5,517.24 and 2,426.24

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Solution

The fourth proportional to 3,998, 5,517.24 and 2,426.24 is: 3,348.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,998 : 5,517.24 = 2,426.24 : x
  2. Step 2: Convert to fraction form
    3,998/5,517.24 = 2,426.24/x
  3. Step 3: Cross multiply
    3,998x = 5,517.24 × 2,426.24
  4. Step 4: Simplify right side
    3,998x = 13,386,148.38
  5. Step 5: Solve for x
    x = 13,386,148.38/3,998
  6. Step 6: Final answer
    x = 3,348.21

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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.