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Finding the Fourth Proportional to 6,082, 8,389.92 and 4,089.13

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Solution

The fourth proportional to 6,082, 8,389.92 and 4,089.13 is: 5,640.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,082 : 8,389.92 = 4,089.13 : x
  2. Step 2: Convert to fraction form
    6,082/8,389.92 = 4,089.13/x
  3. Step 3: Cross multiply
    6,082x = 8,389.92 × 4,089.13
  4. Step 4: Simplify right side
    6,082x = 34,307,473.57
  5. Step 5: Solve for x
    x = 34,307,473.57/6,082
  6. Step 6: Final answer
    x = 5,640.82

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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.