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Finding the Fourth Proportional to 3,441.27, 5,164.11 and 1,249.80

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Solution

The fourth proportional to 3,441.27, 5,164.11 and 1,249.80 is: 1,875.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,441.27 : 5,164.11 = 1,249.80 : x
  2. Step 2: Convert to fraction form
    3,441.27/5,164.11 = 1,249.80/x
  3. Step 3: Cross multiply
    3,441.27x = 5,164.11 × 1,249.80
  4. Step 4: Simplify right side
    3,441.27x = 6,454,104.68
  5. Step 5: Solve for x
    x = 6,454,104.68/3,441.27
  6. Step 6: Final answer
    x = 1,875.50

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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.