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Finding the Fourth Proportional to 3,797.55, 5,693.09 and 1,456.31

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Solution

The fourth proportional to 3,797.55, 5,693.09 and 1,456.31 is: 2,183.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,797.55 : 5,693.09 = 1,456.31 : x
  2. Step 2: Convert to fraction form
    3,797.55/5,693.09 = 1,456.31/x
  3. Step 3: Cross multiply
    3,797.55x = 5,693.09 × 1,456.31
  4. Step 4: Simplify right side
    3,797.55x = 8,290,910.85
  5. Step 5: Solve for x
    x = 8,290,910.85/3,797.55
  6. Step 6: Final answer
    x = 2,183.23

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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.