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Finding the Fourth Proportional to 3,679.65, 5,077.98 and 2,001.06

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Solution

The fourth proportional to 3,679.65, 5,077.98 and 2,001.06 is: 2,761.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,679.65 : 5,077.98 = 2,001.06 : x
  2. Step 2: Convert to fraction form
    3,679.65/5,077.98 = 2,001.06/x
  3. Step 3: Cross multiply
    3,679.65x = 5,077.98 × 2,001.06
  4. Step 4: Simplify right side
    3,679.65x = 10,161,342.66
  5. Step 5: Solve for x
    x = 10,161,342.66/3,679.65
  6. Step 6: Final answer
    x = 2,761.50

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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.