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Finding the Fourth Proportional to 3,847.45, 5,765.10 and 3,227.80

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Solution

The fourth proportional to 3,847.45, 5,765.10 and 3,227.80 is: 4,836.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,847.45 : 5,765.10 = 3,227.80 : x
  2. Step 2: Convert to fraction form
    3,847.45/5,765.10 = 3,227.80/x
  3. Step 3: Cross multiply
    3,847.45x = 5,765.10 × 3,227.80
  4. Step 4: Simplify right side
    3,847.45x = 18,608,589.78
  5. Step 5: Solve for x
    x = 18,608,589.78/3,847.45
  6. Step 6: Final answer
    x = 4,836.60

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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.