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Finding the Fourth Proportional to 3,470.50, 5,201.52 and 2,082.88

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Solution

The fourth proportional to 3,470.50, 5,201.52 and 2,082.88 is: 3,121.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,470.50 : 5,201.52 = 2,082.88 : x
  2. Step 2: Convert to fraction form
    3,470.50/5,201.52 = 2,082.88/x
  3. Step 3: Cross multiply
    3,470.50x = 5,201.52 × 2,082.88
  4. Step 4: Simplify right side
    3,470.50x = 10,834,141.98
  5. Step 5: Solve for x
    x = 10,834,141.98/3,470.50
  6. Step 6: Final answer
    x = 3,121.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.