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Finding the Fourth Proportional to 3,683.25, 5,082.89 and 2,027.25

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Solution

The fourth proportional to 3,683.25, 5,082.89 and 2,027.25 is: 2,797.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,683.25 : 5,082.89 = 2,027.25 : x
  2. Step 2: Convert to fraction form
    3,683.25/5,082.89 = 2,027.25/x
  3. Step 3: Cross multiply
    3,683.25x = 5,082.89 × 2,027.25
  4. Step 4: Simplify right side
    3,683.25x = 10,304,278.62
  5. Step 5: Solve for x
    x = 10,304,278.62/3,683.25
  6. Step 6: Final answer
    x = 2,797.61

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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.