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Finding the Fourth Proportional to 3,834.72, 5,297.22 and 2,961.54

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Solution

The fourth proportional to 3,834.72, 5,297.22 and 2,961.54 is: 4,091.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,834.72 : 5,297.22 = 2,961.54 : x
  2. Step 2: Convert to fraction form
    3,834.72/5,297.22 = 2,961.54/x
  3. Step 3: Cross multiply
    3,834.72x = 5,297.22 × 2,961.54
  4. Step 4: Simplify right side
    3,834.72x = 15,687,928.92
  5. Step 5: Solve for x
    x = 15,687,928.92/3,834.72
  6. Step 6: Final answer
    x = 4,091.02

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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.