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Finding the Fourth Proportional to 3,992.92, 5,512.82 and 3,745.08

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Solution

The fourth proportional to 3,992.92, 5,512.82 and 3,745.08 is: 5,170.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,992.92 : 5,512.82 = 3,745.08 : x
  2. Step 2: Convert to fraction form
    3,992.92/5,512.82 = 3,745.08/x
  3. Step 3: Cross multiply
    3,992.92x = 5,512.82 × 3,745.08
  4. Step 4: Simplify right side
    3,992.92x = 20,645,951.93
  5. Step 5: Solve for x
    x = 20,645,951.93/3,992.92
  6. Step 6: Final answer
    x = 5,170.64

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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.