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Finding the Fourth Proportional to 3,806.80, 5,233.19 and 3,273.73

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Solution

The fourth proportional to 3,806.80, 5,233.19 and 3,273.73 is: 4,500.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,806.80 : 5,233.19 = 3,273.73 : x
  2. Step 2: Convert to fraction form
    3,806.80/5,233.19 = 3,273.73/x
  3. Step 3: Cross multiply
    3,806.80x = 5,233.19 × 3,273.73
  4. Step 4: Simplify right side
    3,806.80x = 17,132,051.10
  5. Step 5: Solve for x
    x = 17,132,051.10/3,806.80
  6. Step 6: Final answer
    x = 4,500.38

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.