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Finding the Fourth Proportional to 5,449.66, 7,517.92 and 3,456.74

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Solution

The fourth proportional to 5,449.66, 7,517.92 and 3,456.74 is: 4,768.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,449.66 : 7,517.92 = 3,456.74 : x
  2. Step 2: Convert to fraction form
    5,449.66/7,517.92 = 3,456.74/x
  3. Step 3: Cross multiply
    5,449.66x = 7,517.92 × 3,456.74
  4. Step 4: Simplify right side
    5,449.66x = 25,987,494.78
  5. Step 5: Solve for x
    x = 25,987,494.78/5,449.66
  6. Step 6: Final answer
    x = 4,768.65

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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.