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Finding the Fourth Proportional to 3,996.89, 5,510.81 and 3,286.25

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Solution

The fourth proportional to 3,996.89, 5,510.81 and 3,286.25 is: 4,530.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,996.89 : 5,510.81 = 3,286.25 : x
  2. Step 2: Convert to fraction form
    3,996.89/5,510.81 = 3,286.25/x
  3. Step 3: Cross multiply
    3,996.89x = 5,510.81 × 3,286.25
  4. Step 4: Simplify right side
    3,996.89x = 18,109,882.93
  5. Step 5: Solve for x
    x = 18,109,882.93/3,996.89
  6. Step 6: Final answer
    x = 4,530.99

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.