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Finding the Fourth Proportional to 6,082.36, 8,394.39 and 3,429.71

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Solution

The fourth proportional to 6,082.36, 8,394.39 and 3,429.71 is: 4,733.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,082.36 : 8,394.39 = 3,429.71 : x
  2. Step 2: Convert to fraction form
    6,082.36/8,394.39 = 3,429.71/x
  3. Step 3: Cross multiply
    6,082.36x = 8,394.39 × 3,429.71
  4. Step 4: Simplify right side
    6,082.36x = 28,790,312.83
  5. Step 5: Solve for x
    x = 28,790,312.83/6,082.36
  6. Step 6: Final answer
    x = 4,733.41

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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.