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Finding the Fourth Proportional to 3,847.24, 5,773.29 and 2,206.99

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Solution

The fourth proportional to 3,847.24, 5,773.29 and 2,206.99 is: 3,311.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,847.24 : 5,773.29 = 2,206.99 : x
  2. Step 2: Convert to fraction form
    3,847.24/5,773.29 = 2,206.99/x
  3. Step 3: Cross multiply
    3,847.24x = 5,773.29 × 2,206.99
  4. Step 4: Simplify right side
    3,847.24x = 12,741,593.30
  5. Step 5: Solve for x
    x = 12,741,593.30/3,847.24
  6. Step 6: Final answer
    x = 3,311.88

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.