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Finding the Fourth Proportional to 3,661.96, 5,494.14 and 1,469.56

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Solution

The fourth proportional to 3,661.96, 5,494.14 and 1,469.56 is: 2,204.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,661.96 : 5,494.14 = 1,469.56 : x
  2. Step 2: Convert to fraction form
    3,661.96/5,494.14 = 1,469.56/x
  3. Step 3: Cross multiply
    3,661.96x = 5,494.14 × 1,469.56
  4. Step 4: Simplify right side
    3,661.96x = 8,073,968.38
  5. Step 5: Solve for x
    x = 8,073,968.38/3,661.96
  6. Step 6: Final answer
    x = 2,204.82

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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.