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Finding the Fourth Proportional to 3,679.62, 5,077.85 and 2,086.56

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Solution

The fourth proportional to 3,679.62, 5,077.85 and 2,086.56 is: 2,879.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,679.62 : 5,077.85 = 2,086.56 : x
  2. Step 2: Convert to fraction form
    3,679.62/5,077.85 = 2,086.56/x
  3. Step 3: Cross multiply
    3,679.62x = 5,077.85 × 2,086.56
  4. Step 4: Simplify right side
    3,679.62x = 10,595,228.26
  5. Step 5: Solve for x
    x = 10,595,228.26/3,679.62
  6. Step 6: Final answer
    x = 2,879.44

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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.