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Finding the Fourth Proportional to 6,082.05, 9,062.61 and 5,418.82

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Solution

The fourth proportional to 6,082.05, 9,062.61 and 5,418.82 is: 8,074.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,082.05 : 9,062.61 = 5,418.82 : x
  2. Step 2: Convert to fraction form
    6,082.05/9,062.61 = 5,418.82/x
  3. Step 3: Cross multiply
    6,082.05x = 9,062.61 × 5,418.82
  4. Step 4: Simplify right side
    6,082.05x = 49,108,684.06
  5. Step 5: Solve for x
    x = 49,108,684.06/6,082.05
  6. Step 6: Final answer
    x = 8,074.37

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.