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Finding the Fourth Proportional to 3,850.88, 5,314.23 and 2,082.49

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Solution

The fourth proportional to 3,850.88, 5,314.23 and 2,082.49 is: 2,873.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,850.88 : 5,314.23 = 2,082.49 : x
  2. Step 2: Convert to fraction form
    3,850.88/5,314.23 = 2,082.49/x
  3. Step 3: Cross multiply
    3,850.88x = 5,314.23 × 2,082.49
  4. Step 4: Simplify right side
    3,850.88x = 11,066,809.74
  5. Step 5: Solve for x
    x = 11,066,809.74/3,850.88
  6. Step 6: Final answer
    x = 2,873.84

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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.