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Finding the Fourth Proportional to 3,658.14, 5,047.92 and 2,086.20

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Solution

The fourth proportional to 3,658.14, 5,047.92 and 2,086.20 is: 2,878.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,658.14 : 5,047.92 = 2,086.20 : x
  2. Step 2: Convert to fraction form
    3,658.14/5,047.92 = 2,086.20/x
  3. Step 3: Cross multiply
    3,658.14x = 5,047.92 × 2,086.20
  4. Step 4: Simplify right side
    3,658.14x = 10,530,970.70
  5. Step 5: Solve for x
    x = 10,530,970.70/3,658.14
  6. Step 6: Final answer
    x = 2,878.78

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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.