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Finding the Fourth Proportional to 3,947.99, 5,449.28 and 2,269.58

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Solution

The fourth proportional to 3,947.99, 5,449.28 and 2,269.58 is: 3,132.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,947.99 : 5,449.28 = 2,269.58 : x
  2. Step 2: Convert to fraction form
    3,947.99/5,449.28 = 2,269.58/x
  3. Step 3: Cross multiply
    3,947.99x = 5,449.28 × 2,269.58
  4. Step 4: Simplify right side
    3,947.99x = 12,367,576.62
  5. Step 5: Solve for x
    x = 12,367,576.62/3,947.99
  6. Step 6: Final answer
    x = 3,132.63

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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.