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Finding the Fourth Proportional to 3,682.62, 5,082.16 and 2,110.70

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Solution

The fourth proportional to 3,682.62, 5,082.16 and 2,110.70 is: 2,912.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,682.62 : 5,082.16 = 2,110.70 : x
  2. Step 2: Convert to fraction form
    3,682.62/5,082.16 = 2,110.70/x
  3. Step 3: Cross multiply
    3,682.62x = 5,082.16 × 2,110.70
  4. Step 4: Simplify right side
    3,682.62x = 10,726,915.11
  5. Step 5: Solve for x
    x = 10,726,915.11/3,682.62
  6. Step 6: Final answer
    x = 2,912.85

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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.