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Finding the Fourth Proportional to 3,679.65, 5,077.95 and 2,001.02

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Solution

The fourth proportional to 3,679.65, 5,077.95 and 2,001.02 is: 2,761.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,679.65 : 5,077.95 = 2,001.02 : x
  2. Step 2: Convert to fraction form
    3,679.65/5,077.95 = 2,001.02/x
  3. Step 3: Cross multiply
    3,679.65x = 5,077.95 × 2,001.02
  4. Step 4: Simplify right side
    3,679.65x = 10,161,079.51
  5. Step 5: Solve for x
    x = 10,161,079.51/3,679.65
  6. Step 6: Final answer
    x = 2,761.43

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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.