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Finding the Fourth Proportional to 3,679.83, 5,078.07 and 2,001.20

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Solution

The fourth proportional to 3,679.83, 5,078.07 and 2,001.20 is: 2,761.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,679.83 : 5,078.07 = 2,001.20 : x
  2. Step 2: Convert to fraction form
    3,679.83/5,078.07 = 2,001.20/x
  3. Step 3: Cross multiply
    3,679.83x = 5,078.07 × 2,001.20
  4. Step 4: Simplify right side
    3,679.83x = 10,162,208.29
  5. Step 5: Solve for x
    x = 10,162,208.29/3,679.83
  6. Step 6: Final answer
    x = 2,761.60

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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.