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Finding the Fourth Proportional to 3,494.31, 4,822 and 2,001.16

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Solution

The fourth proportional to 3,494.31, 4,822 and 2,001.16 is: 2,761.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,494.31 : 4,822 = 2,001.16 : x
  2. Step 2: Convert to fraction form
    3,494.31/4,822 = 2,001.16/x
  3. Step 3: Cross multiply
    3,494.31x = 4,822 × 2,001.16
  4. Step 4: Simplify right side
    3,494.31x = 9,649,593.52
  5. Step 5: Solve for x
    x = 9,649,593.52/3,494.31
  6. Step 6: Final answer
    x = 2,761.52

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.