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Finding the Fourth Proportional to 4,745.28, 6,552 and 3,067.71

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Solution

The fourth proportional to 4,745.28, 6,552 and 3,067.71 is: 4,235.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,745.28 : 6,552 = 3,067.71 : x
  2. Step 2: Convert to fraction form
    4,745.28/6,552 = 3,067.71/x
  3. Step 3: Cross multiply
    4,745.28x = 6,552 × 3,067.71
  4. Step 4: Simplify right side
    4,745.28x = 20,099,635.92
  5. Step 5: Solve for x
    x = 20,099,635.92/4,745.28
  6. Step 6: Final answer
    x = 4,235.71

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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.