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Finding the Fourth Proportional to 6,082.92, 8,394.55 and 3,429.82

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Solution

The fourth proportional to 6,082.92, 8,394.55 and 3,429.82 is: 4,733.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,082.92 : 8,394.55 = 3,429.82 : x
  2. Step 2: Convert to fraction form
    6,082.92/8,394.55 = 3,429.82/x
  3. Step 3: Cross multiply
    6,082.92x = 8,394.55 × 3,429.82
  4. Step 4: Simplify right side
    6,082.92x = 28,791,762.08
  5. Step 5: Solve for x
    x = 28,791,762.08/6,082.92
  6. Step 6: Final answer
    x = 4,733.21

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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.