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Finding the Fourth Proportional to 3,679.60, 5,077.81 and 2,000.98

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Solution

The fourth proportional to 3,679.60, 5,077.81 and 2,000.98 is: 2,761.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,679.60 : 5,077.81 = 2,000.98 : x
  2. Step 2: Convert to fraction form
    3,679.60/5,077.81 = 2,000.98/x
  3. Step 3: Cross multiply
    3,679.60x = 5,077.81 × 2,000.98
  4. Step 4: Simplify right side
    3,679.60x = 10,160,596.25
  5. Step 5: Solve for x
    x = 10,160,596.25/3,679.60
  6. Step 6: Final answer
    x = 2,761.33

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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.