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Finding the Fourth Proportional to 4,169.32, 5,761.44 and 3,605.56

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Solution

The fourth proportional to 4,169.32, 5,761.44 and 3,605.56 is: 4,982.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,169.32 : 5,761.44 = 3,605.56 : x
  2. Step 2: Convert to fraction form
    4,169.32/5,761.44 = 3,605.56/x
  3. Step 3: Cross multiply
    4,169.32x = 5,761.44 × 3,605.56
  4. Step 4: Simplify right side
    4,169.32x = 20,773,217.61
  5. Step 5: Solve for x
    x = 20,773,217.61/4,169.32
  6. Step 6: Final answer
    x = 4,982.40

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.