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Finding the Fourth Proportional to 4,871.20, 7,310.40 and 3,227.20

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Solution

The fourth proportional to 4,871.20, 7,310.40 and 3,227.20 is: 4,843.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,871.20 : 7,310.40 = 3,227.20 : x
  2. Step 2: Convert to fraction form
    4,871.20/7,310.40 = 3,227.20/x
  3. Step 3: Cross multiply
    4,871.20x = 7,310.40 × 3,227.20
  4. Step 4: Simplify right side
    4,871.20x = 23,592,122.88
  5. Step 5: Solve for x
    x = 23,592,122.88/4,871.20
  6. Step 6: Final answer
    x = 4,843.19

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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.