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Finding the Fourth Proportional to 3,401.43, 4,695.10 and 2,281.97

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Solution

The fourth proportional to 3,401.43, 4,695.10 and 2,281.97 is: 3,149.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,401.43 : 4,695.10 = 2,281.97 : x
  2. Step 2: Convert to fraction form
    3,401.43/4,695.10 = 2,281.97/x
  3. Step 3: Cross multiply
    3,401.43x = 4,695.10 × 2,281.97
  4. Step 4: Simplify right side
    3,401.43x = 10,714,083.38
  5. Step 5: Solve for x
    x = 10,714,083.38/3,401.43
  6. Step 6: Final answer
    x = 3,149.88

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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.