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Finding the Fourth Proportional to 3,679.64, 5,077.81 and 2,001.02

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Solution

The fourth proportional to 3,679.64, 5,077.81 and 2,001.02 is: 2,761.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,679.64 : 5,077.81 = 2,001.02 : x
  2. Step 2: Convert to fraction form
    3,679.64/5,077.81 = 2,001.02/x
  3. Step 3: Cross multiply
    3,679.64x = 5,077.81 × 2,001.02
  4. Step 4: Simplify right side
    3,679.64x = 10,160,768.97
  5. Step 5: Solve for x
    x = 10,160,768.97/3,679.64
  6. Step 6: Final answer
    x = 2,761.35

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Why These Related Problems?

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