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Finding the Fourth Proportional to 3,679.89, 5,078.14 and 2,001.24

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Solution

The fourth proportional to 3,679.89, 5,078.14 and 2,001.24 is: 2,761.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,679.89 : 5,078.14 = 2,001.24 : x
  2. Step 2: Convert to fraction form
    3,679.89/5,078.14 = 2,001.24/x
  3. Step 3: Cross multiply
    3,679.89x = 5,078.14 × 2,001.24
  4. Step 4: Simplify right side
    3,679.89x = 10,162,583.15
  5. Step 5: Solve for x
    x = 10,162,583.15/3,679.89
  6. Step 6: Final answer
    x = 2,761.65

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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.