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Finding the Fourth Proportional to 3,805.19, 5,716.04 and 3,221.38

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Solution

The fourth proportional to 3,805.19, 5,716.04 and 3,221.38 is: 4,839.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,805.19 : 5,716.04 = 3,221.38 : x
  2. Step 2: Convert to fraction form
    3,805.19/5,716.04 = 3,221.38/x
  3. Step 3: Cross multiply
    3,805.19x = 5,716.04 × 3,221.38
  4. Step 4: Simplify right side
    3,805.19x = 18,413,527.97
  5. Step 5: Solve for x
    x = 18,413,527.97/3,805.19
  6. Step 6: Final answer
    x = 4,839.06

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.