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Finding the Fourth Proportional to 4,255.65, 5,872.37 and 3,942.18

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Solution

The fourth proportional to 4,255.65, 5,872.37 and 3,942.18 is: 5,439.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,255.65 : 5,872.37 = 3,942.18 : x
  2. Step 2: Convert to fraction form
    4,255.65/5,872.37 = 3,942.18/x
  3. Step 3: Cross multiply
    4,255.65x = 5,872.37 × 3,942.18
  4. Step 4: Simplify right side
    4,255.65x = 23,149,919.86
  5. Step 5: Solve for x
    x = 23,149,919.86/4,255.65
  6. Step 6: Final answer
    x = 5,439.81

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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.