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Finding the Fourth Proportional to 3,679.68, 5,077.98 and 2,001.09

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Solution

The fourth proportional to 3,679.68, 5,077.98 and 2,001.09 is: 2,761.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,679.68 : 5,077.98 = 2,001.09 : x
  2. Step 2: Convert to fraction form
    3,679.68/5,077.98 = 2,001.09/x
  3. Step 3: Cross multiply
    3,679.68x = 5,077.98 × 2,001.09
  4. Step 4: Simplify right side
    3,679.68x = 10,161,495.00
  5. Step 5: Solve for x
    x = 10,161,495.00/3,679.68
  6. Step 6: Final answer
    x = 2,761.52

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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.