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Finding the Fourth Proportional to 6,082.13, 8,392.62 and 3,429.38

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Solution

The fourth proportional to 6,082.13, 8,392.62 and 3,429.38 is: 4,732.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,082.13 : 8,392.62 = 3,429.38 : x
  2. Step 2: Convert to fraction form
    6,082.13/8,392.62 = 3,429.38/x
  3. Step 3: Cross multiply
    6,082.13x = 8,392.62 × 3,429.38
  4. Step 4: Simplify right side
    6,082.13x = 28,781,424.07
  5. Step 5: Solve for x
    x = 28,781,424.07/6,082.13
  6. Step 6: Final answer
    x = 4,732.13

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.