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Finding the Fourth Proportional to 5,471.76, 7,550.20 and 3,081.39

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Solution

The fourth proportional to 5,471.76, 7,550.20 and 3,081.39 is: 4,251.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,471.76 : 7,550.20 = 3,081.39 : x
  2. Step 2: Convert to fraction form
    5,471.76/7,550.20 = 3,081.39/x
  3. Step 3: Cross multiply
    5,471.76x = 7,550.20 × 3,081.39
  4. Step 4: Simplify right side
    5,471.76x = 23,265,110.78
  5. Step 5: Solve for x
    x = 23,265,110.78/5,471.76
  6. Step 6: Final answer
    x = 4,251.85

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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.