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Finding the Fourth Proportional to 3,948.38, 5,922.09 and 1,351.10

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Solution

The fourth proportional to 3,948.38, 5,922.09 and 1,351.10 is: 2,026.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,948.38 : 5,922.09 = 1,351.10 : x
  2. Step 2: Convert to fraction form
    3,948.38/5,922.09 = 1,351.10/x
  3. Step 3: Cross multiply
    3,948.38x = 5,922.09 × 1,351.10
  4. Step 4: Simplify right side
    3,948.38x = 8,001,335.80
  5. Step 5: Solve for x
    x = 8,001,335.80/3,948.38
  6. Step 6: Final answer
    x = 2,026.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.