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Finding the Fourth Proportional to 3,447.28, 5,171.28 and 1,138.78

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Solution

The fourth proportional to 3,447.28, 5,171.28 and 1,138.78 is: 1,708.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,447.28 : 5,171.28 = 1,138.78 : x
  2. Step 2: Convert to fraction form
    3,447.28/5,171.28 = 1,138.78/x
  3. Step 3: Cross multiply
    3,447.28x = 5,171.28 × 1,138.78
  4. Step 4: Simplify right side
    3,447.28x = 5,888,950.24
  5. Step 5: Solve for x
    x = 5,888,950.24/3,447.28
  6. Step 6: Final answer
    x = 1,708.29

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1.5x scale

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.