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Finding the Fourth Proportional to 3,744.22, 5,171.16 and 2,914.96

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Solution

The fourth proportional to 3,744.22, 5,171.16 and 2,914.96 is: 4,025.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,744.22 : 5,171.16 = 2,914.96 : x
  2. Step 2: Convert to fraction form
    3,744.22/5,171.16 = 2,914.96/x
  3. Step 3: Cross multiply
    3,744.22x = 5,171.16 × 2,914.96
  4. Step 4: Simplify right side
    3,744.22x = 15,073,724.55
  5. Step 5: Solve for x
    x = 15,073,724.55/3,744.22
  6. Step 6: Final answer
    x = 4,025.87

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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.