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Finding the Fourth Proportional to 3,640.02, 5,019.21 and 3,082.74

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Solution

The fourth proportional to 3,640.02, 5,019.21 and 3,082.74 is: 4,250.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,640.02 : 5,019.21 = 3,082.74 : x
  2. Step 2: Convert to fraction form
    3,640.02/5,019.21 = 3,082.74/x
  3. Step 3: Cross multiply
    3,640.02x = 5,019.21 × 3,082.74
  4. Step 4: Simplify right side
    3,640.02x = 15,472,919.44
  5. Step 5: Solve for x
    x = 15,472,919.44/3,640.02
  6. Step 6: Final answer
    x = 4,250.78

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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.