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Finding the Fourth Proportional to 3,171.28, 4,765.20 and 2,974.48

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Solution

The fourth proportional to 3,171.28, 4,765.20 and 2,974.48 is: 4,469.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,171.28 : 4,765.20 = 2,974.48 : x
  2. Step 2: Convert to fraction form
    3,171.28/4,765.20 = 2,974.48/x
  3. Step 3: Cross multiply
    3,171.28x = 4,765.20 × 2,974.48
  4. Step 4: Simplify right side
    3,171.28x = 14,173,992.10
  5. Step 5: Solve for x
    x = 14,173,992.10/3,171.28
  6. Step 6: Final answer
    x = 4,469.49

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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.