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Finding the Fourth Proportional to 3,683.24, 5,082.92 and 2,027.24

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Solution

The fourth proportional to 3,683.24, 5,082.92 and 2,027.24 is: 2,797.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,683.24 : 5,082.92 = 2,027.24 : x
  2. Step 2: Convert to fraction form
    3,683.24/5,082.92 = 2,027.24/x
  3. Step 3: Cross multiply
    3,683.24x = 5,082.92 × 2,027.24
  4. Step 4: Simplify right side
    3,683.24x = 10,304,298.74
  5. Step 5: Solve for x
    x = 10,304,298.74/3,683.24
  6. Step 6: Final answer
    x = 2,797.62

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Half scale
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1.5x scale

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.