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Finding the Fourth Proportional to 3,121.28, 4,679.36 and 2,512

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Solution

The fourth proportional to 3,121.28, 4,679.36 and 2,512 is: 3,765.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,121.28 : 4,679.36 = 2,512 : x
  2. Step 2: Convert to fraction form
    3,121.28/4,679.36 = 2,512/x
  3. Step 3: Cross multiply
    3,121.28x = 4,679.36 × 2,512
  4. Step 4: Simplify right side
    3,121.28x = 11,754,552.32
  5. Step 5: Solve for x
    x = 11,754,552.32/3,121.28
  6. Step 6: Final answer
    x = 3,765.94

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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.