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Finding the Fourth Proportional to 3,679.85, 5,078.24 and 2,001.25

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Solution

The fourth proportional to 3,679.85, 5,078.24 and 2,001.25 is: 2,761.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,679.85 : 5,078.24 = 2,001.25 : x
  2. Step 2: Convert to fraction form
    3,679.85/5,078.24 = 2,001.25/x
  3. Step 3: Cross multiply
    3,679.85x = 5,078.24 × 2,001.25
  4. Step 4: Simplify right side
    3,679.85x = 10,162,805.10
  5. Step 5: Solve for x
    x = 10,162,805.10/3,679.85
  6. Step 6: Final answer
    x = 2,761.75

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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.