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Finding the Fourth Proportional to 3,847.66, 5,767.20 and 2,200.59

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Solution

The fourth proportional to 3,847.66, 5,767.20 and 2,200.59 is: 3,298.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,847.66 : 5,767.20 = 2,200.59 : x
  2. Step 2: Convert to fraction form
    3,847.66/5,767.20 = 2,200.59/x
  3. Step 3: Cross multiply
    3,847.66x = 5,767.20 × 2,200.59
  4. Step 4: Simplify right side
    3,847.66x = 12,691,242.65
  5. Step 5: Solve for x
    x = 12,691,242.65/3,847.66
  6. Step 6: Final answer
    x = 3,298.43

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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.