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Finding the Fourth Proportional to 6,082.98, 8,394 and 3,431.04

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Solution

The fourth proportional to 6,082.98, 8,394 and 3,431.04 is: 4,734.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,082.98 : 8,394 = 3,431.04 : x
  2. Step 2: Convert to fraction form
    6,082.98/8,394 = 3,431.04/x
  3. Step 3: Cross multiply
    6,082.98x = 8,394 × 3,431.04
  4. Step 4: Simplify right side
    6,082.98x = 28,800,149.76
  5. Step 5: Solve for x
    x = 28,800,149.76/6,082.98
  6. Step 6: Final answer
    x = 4,734.55

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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.