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Finding the Fourth Proportional to 3,850.71, 5,313.98 and 2,082.32

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Solution

The fourth proportional to 3,850.71, 5,313.98 and 2,082.32 is: 2,873.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,850.71 : 5,313.98 = 2,082.32 : x
  2. Step 2: Convert to fraction form
    3,850.71/5,313.98 = 2,082.32/x
  3. Step 3: Cross multiply
    3,850.71x = 5,313.98 × 2,082.32
  4. Step 4: Simplify right side
    3,850.71x = 11,065,369.85
  5. Step 5: Solve for x
    x = 11,065,369.85/3,850.71
  6. Step 6: Final answer
    x = 2,873.59

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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.