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Finding the Fourth Proportional to 3,082.71, 4,226.38 and 3,027.38

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Solution

The fourth proportional to 3,082.71, 4,226.38 and 3,027.38 is: 4,150.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,082.71 : 4,226.38 = 3,027.38 : x
  2. Step 2: Convert to fraction form
    3,082.71/4,226.38 = 3,027.38/x
  3. Step 3: Cross multiply
    3,082.71x = 4,226.38 × 3,027.38
  4. Step 4: Simplify right side
    3,082.71x = 12,794,829.58
  5. Step 5: Solve for x
    x = 12,794,829.58/3,082.71
  6. Step 6: Final answer
    x = 4,150.52

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.