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Finding the Fourth Proportional to 4,694.28, 6,467.22 and 3,906.96

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Solution

The fourth proportional to 4,694.28, 6,467.22 and 3,906.96 is: 5,382.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,694.28 : 6,467.22 = 3,906.96 : x
  2. Step 2: Convert to fraction form
    4,694.28/6,467.22 = 3,906.96/x
  3. Step 3: Cross multiply
    4,694.28x = 6,467.22 × 3,906.96
  4. Step 4: Simplify right side
    4,694.28x = 25,267,169.85
  5. Step 5: Solve for x
    x = 25,267,169.85/4,694.28
  6. Step 6: Final answer
    x = 5,382.54

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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.