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Finding the Fourth Proportional to 4,086.27, 6,133.17 and 2,241.22

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Solution

The fourth proportional to 4,086.27, 6,133.17 and 2,241.22 is: 3,363.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,086.27 : 6,133.17 = 2,241.22 : x
  2. Step 2: Convert to fraction form
    4,086.27/6,133.17 = 2,241.22/x
  3. Step 3: Cross multiply
    4,086.27x = 6,133.17 × 2,241.22
  4. Step 4: Simplify right side
    4,086.27x = 13,745,775.23
  5. Step 5: Solve for x
    x = 13,745,775.23/4,086.27
  6. Step 6: Final answer
    x = 3,363.89

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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.