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Finding the Fourth Proportional to 3,847.24, 5,770.86 and 2,991.88

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Solution

The fourth proportional to 3,847.24, 5,770.86 and 2,991.88 is: 4,487.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,847.24 : 5,770.86 = 2,991.88 : x
  2. Step 2: Convert to fraction form
    3,847.24/5,770.86 = 2,991.88/x
  3. Step 3: Cross multiply
    3,847.24x = 5,770.86 × 2,991.88
  4. Step 4: Simplify right side
    3,847.24x = 17,265,720.62
  5. Step 5: Solve for x
    x = 17,265,720.62/3,847.24
  6. Step 6: Final answer
    x = 4,487.82

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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.