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Finding the Fourth Proportional to 6,542.75, 9,016.44 and 4,180.79

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Solution

The fourth proportional to 6,542.75, 9,016.44 and 4,180.79 is: 5,761.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,542.75 : 9,016.44 = 4,180.79 : x
  2. Step 2: Convert to fraction form
    6,542.75/9,016.44 = 4,180.79/x
  3. Step 3: Cross multiply
    6,542.75x = 9,016.44 × 4,180.79
  4. Step 4: Simplify right side
    6,542.75x = 37,695,842.19
  5. Step 5: Solve for x
    x = 37,695,842.19/6,542.75
  6. Step 6: Final answer
    x = 5,761.47

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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.