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Finding the Fourth Proportional to 3,793.44, 5,693.76 and 2,063.28

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Solution

The fourth proportional to 3,793.44, 5,693.76 and 2,063.28 is: 3,096.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,793.44 : 5,693.76 = 2,063.28 : x
  2. Step 2: Convert to fraction form
    3,793.44/5,693.76 = 2,063.28/x
  3. Step 3: Cross multiply
    3,793.44x = 5,693.76 × 2,063.28
  4. Step 4: Simplify right side
    3,793.44x = 11,747,821.13
  5. Step 5: Solve for x
    x = 11,747,821.13/3,793.44
  6. Step 6: Final answer
    x = 3,096.88

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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.