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Finding the Fourth Proportional to 6,082.97, 8,394.50 and 3,288.47

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Solution

The fourth proportional to 6,082.97, 8,394.50 and 3,288.47 is: 4,538.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,082.97 : 8,394.50 = 3,288.47 : x
  2. Step 2: Convert to fraction form
    6,082.97/8,394.50 = 3,288.47/x
  3. Step 3: Cross multiply
    6,082.97x = 8,394.50 × 3,288.47
  4. Step 4: Simplify right side
    6,082.97x = 27,605,046.81
  5. Step 5: Solve for x
    x = 27,605,046.81/6,082.97
  6. Step 6: Final answer
    x = 4,538.09

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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.