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Finding the Fourth Proportional to 3,777.68, 5,667.24 and 1,469

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Solution

The fourth proportional to 3,777.68, 5,667.24 and 1,469 is: 2,203.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,777.68 : 5,667.24 = 1,469 : x
  2. Step 2: Convert to fraction form
    3,777.68/5,667.24 = 1,469/x
  3. Step 3: Cross multiply
    3,777.68x = 5,667.24 × 1,469
  4. Step 4: Simplify right side
    3,777.68x = 8,325,175.56
  5. Step 5: Solve for x
    x = 8,325,175.56/3,777.68
  6. Step 6: Final answer
    x = 2,203.78

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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.