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Finding the Fourth Proportional to 3,850.80, 5,314.10 and 2,082.41

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Solution

The fourth proportional to 3,850.80, 5,314.10 and 2,082.41 is: 2,873.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,850.80 : 5,314.10 = 2,082.41 : x
  2. Step 2: Convert to fraction form
    3,850.80/5,314.10 = 2,082.41/x
  3. Step 3: Cross multiply
    3,850.80x = 5,314.10 × 2,082.41
  4. Step 4: Simplify right side
    3,850.80x = 11,066,113.62
  5. Step 5: Solve for x
    x = 11,066,113.62/3,850.80
  6. Step 6: Final answer
    x = 2,873.72

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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.