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Finding the Fourth Proportional to 5,252.75, 7,871.19 and 3,170.44

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Solution

The fourth proportional to 5,252.75, 7,871.19 and 3,170.44 is: 4,750.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,252.75 : 7,871.19 = 3,170.44 : x
  2. Step 2: Convert to fraction form
    5,252.75/7,871.19 = 3,170.44/x
  3. Step 3: Cross multiply
    5,252.75x = 7,871.19 × 3,170.44
  4. Step 4: Simplify right side
    5,252.75x = 24,955,135.62
  5. Step 5: Solve for x
    x = 24,955,135.62/5,252.75
  6. Step 6: Final answer
    x = 4,750.87

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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.