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Finding the Fourth Proportional to 3,947.70, 5,449.08 and 2,454.74

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Solution

The fourth proportional to 3,947.70, 5,449.08 and 2,454.74 is: 3,388.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,947.70 : 5,449.08 = 2,454.74 : x
  2. Step 2: Convert to fraction form
    3,947.70/5,449.08 = 2,454.74/x
  3. Step 3: Cross multiply
    3,947.70x = 5,449.08 × 2,454.74
  4. Step 4: Simplify right side
    3,947.70x = 13,376,074.64
  5. Step 5: Solve for x
    x = 13,376,074.64/3,947.70
  6. Step 6: Final answer
    x = 3,388.32

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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.