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Finding the Fourth Proportional to 3,741.28, 5,162.32 and 2,169.28

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Solution

The fourth proportional to 3,741.28, 5,162.32 and 2,169.28 is: 2,993.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,741.28 : 5,162.32 = 2,169.28 : x
  2. Step 2: Convert to fraction form
    3,741.28/5,162.32 = 2,169.28/x
  3. Step 3: Cross multiply
    3,741.28x = 5,162.32 × 2,169.28
  4. Step 4: Simplify right side
    3,741.28x = 11,198,517.53
  5. Step 5: Solve for x
    x = 11,198,517.53/3,741.28
  6. Step 6: Final answer
    x = 2,993.23

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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.