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Finding the Fourth Proportional to 3,806.82, 5,233.26 and 3,273.75

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Solution

The fourth proportional to 3,806.82, 5,233.26 and 3,273.75 is: 4,500.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,806.82 : 5,233.26 = 3,273.75 : x
  2. Step 2: Convert to fraction form
    3,806.82/5,233.26 = 3,273.75/x
  3. Step 3: Cross multiply
    3,806.82x = 5,233.26 × 3,273.75
  4. Step 4: Simplify right side
    3,806.82x = 17,132,384.93
  5. Step 5: Solve for x
    x = 17,132,384.93/3,806.82
  6. Step 6: Final answer
    x = 4,500.45

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