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Finding the Fourth Proportional to 5,257.38, 7,891.20 and 4,342.26

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Solution

The fourth proportional to 5,257.38, 7,891.20 and 4,342.26 is: 6,517.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,257.38 : 7,891.20 = 4,342.26 : x
  2. Step 2: Convert to fraction form
    5,257.38/7,891.20 = 4,342.26/x
  3. Step 3: Cross multiply
    5,257.38x = 7,891.20 × 4,342.26
  4. Step 4: Simplify right side
    5,257.38x = 34,265,642.11
  5. Step 5: Solve for x
    x = 34,265,642.11/5,257.38
  6. Step 6: Final answer
    x = 6,517.63

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.