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Finding the Fourth Proportional to 3,851.03, 5,314.42 and 2,082.64

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Solution

The fourth proportional to 3,851.03, 5,314.42 and 2,082.64 is: 2,874.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,851.03 : 5,314.42 = 2,082.64 : x
  2. Step 2: Convert to fraction form
    3,851.03/5,314.42 = 2,082.64/x
  3. Step 3: Cross multiply
    3,851.03x = 5,314.42 × 2,082.64
  4. Step 4: Simplify right side
    3,851.03x = 11,068,023.67
  5. Step 5: Solve for x
    x = 11,068,023.67/3,851.03
  6. Step 6: Final answer
    x = 2,874.04

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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.