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Finding the Fourth Proportional to 3,911.97, 5,398.97 and 2,233.61

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Solution

The fourth proportional to 3,911.97, 5,398.97 and 2,233.61 is: 3,082.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,911.97 : 5,398.97 = 2,233.61 : x
  2. Step 2: Convert to fraction form
    3,911.97/5,398.97 = 2,233.61/x
  3. Step 3: Cross multiply
    3,911.97x = 5,398.97 × 2,233.61
  4. Step 4: Simplify right side
    3,911.97x = 12,059,193.38
  5. Step 5: Solve for x
    x = 12,059,193.38/3,911.97
  6. Step 6: Final answer
    x = 3,082.64

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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.