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Finding the Fourth Proportional to 3,683, 5,082.54 and 2,027

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Solution

The fourth proportional to 3,683, 5,082.54 and 2,027 is: 2,797.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,683 : 5,082.54 = 2,027 : x
  2. Step 2: Convert to fraction form
    3,683/5,082.54 = 2,027/x
  3. Step 3: Cross multiply
    3,683x = 5,082.54 × 2,027
  4. Step 4: Simplify right side
    3,683x = 10,302,308.58
  5. Step 5: Solve for x
    x = 10,302,308.58/3,683
  6. Step 6: Final answer
    x = 2,797.26

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Why These Related Problems?

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