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Finding the Fourth Proportional to 6,198.79, 8,541.62 and 5,761.27

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Solution

The fourth proportional to 6,198.79, 8,541.62 and 5,761.27 is: 7,938.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,198.79 : 8,541.62 = 5,761.27 : x
  2. Step 2: Convert to fraction form
    6,198.79/8,541.62 = 5,761.27/x
  3. Step 3: Cross multiply
    6,198.79x = 8,541.62 × 5,761.27
  4. Step 4: Simplify right side
    6,198.79x = 49,210,550.25
  5. Step 5: Solve for x
    x = 49,210,550.25/6,198.79
  6. Step 6: Final answer
    x = 7,938.73

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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.