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Finding the Fourth Proportional to 3,949.22, 5,451.87 and 3,096.97

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Solution

The fourth proportional to 3,949.22, 5,451.87 and 3,096.97 is: 4,275.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,949.22 : 5,451.87 = 3,096.97 : x
  2. Step 2: Convert to fraction form
    3,949.22/5,451.87 = 3,096.97/x
  3. Step 3: Cross multiply
    3,949.22x = 5,451.87 × 3,096.97
  4. Step 4: Simplify right side
    3,949.22x = 16,884,277.83
  5. Step 5: Solve for x
    x = 16,884,277.83/3,949.22
  6. Step 6: Final answer
    x = 4,275.34

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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.