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Finding the Fourth Proportional to 4,171.80, 6,257.70 and 3,442.20

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Solution

The fourth proportional to 4,171.80, 6,257.70 and 3,442.20 is: 5,163.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,171.80 : 6,257.70 = 3,442.20 : x
  2. Step 2: Convert to fraction form
    4,171.80/6,257.70 = 3,442.20/x
  3. Step 3: Cross multiply
    4,171.80x = 6,257.70 × 3,442.20
  4. Step 4: Simplify right side
    4,171.80x = 21,540,254.94
  5. Step 5: Solve for x
    x = 21,540,254.94/4,171.80
  6. Step 6: Final answer
    x = 5,163.30

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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.