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Finding the Fourth Proportional to 6,082.29, 8,393.57 and 3,429.69

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Solution

The fourth proportional to 6,082.29, 8,393.57 and 3,429.69 is: 4,732.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,082.29 : 8,393.57 = 3,429.69 : x
  2. Step 2: Convert to fraction form
    6,082.29/8,393.57 = 3,429.69/x
  3. Step 3: Cross multiply
    6,082.29x = 8,393.57 × 3,429.69
  4. Step 4: Simplify right side
    6,082.29x = 28,787,325.94
  5. Step 5: Solve for x
    x = 28,787,325.94/6,082.29
  6. Step 6: Final answer
    x = 4,732.97

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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.