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Finding the Fourth Proportional to 4,255.13, 6,351.51 and 3,942.42

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Solution

The fourth proportional to 4,255.13, 6,351.51 and 3,942.42 is: 5,884.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,255.13 : 6,351.51 = 3,942.42 : x
  2. Step 2: Convert to fraction form
    4,255.13/6,351.51 = 3,942.42/x
  3. Step 3: Cross multiply
    4,255.13x = 6,351.51 × 3,942.42
  4. Step 4: Simplify right side
    4,255.13x = 25,040,346.75
  5. Step 5: Solve for x
    x = 25,040,346.75/4,255.13
  6. Step 6: Final answer
    x = 5,884.74

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.