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Finding the Fourth Proportional to 5,767.60, 7,959.19 and 3,249.97

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Solution

The fourth proportional to 5,767.60, 7,959.19 and 3,249.97 is: 4,484.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,767.60 : 7,959.19 = 3,249.97 : x
  2. Step 2: Convert to fraction form
    5,767.60/7,959.19 = 3,249.97/x
  3. Step 3: Cross multiply
    5,767.60x = 7,959.19 × 3,249.97
  4. Step 4: Simplify right side
    5,767.60x = 25,867,091.87
  5. Step 5: Solve for x
    x = 25,867,091.87/5,767.60
  6. Step 6: Final answer
    x = 4,484.90

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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.