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Finding the Fourth Proportional to 6,198.96, 8,541.96 and 5,761.52

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Solution

The fourth proportional to 6,198.96, 8,541.96 and 5,761.52 is: 7,939.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,198.96 : 8,541.96 = 5,761.52 : x
  2. Step 2: Convert to fraction form
    6,198.96/8,541.96 = 5,761.52/x
  3. Step 3: Cross multiply
    6,198.96x = 8,541.96 × 5,761.52
  4. Step 4: Simplify right side
    6,198.96x = 49,214,673.38
  5. Step 5: Solve for x
    x = 49,214,673.38/6,198.96
  6. Step 6: Final answer
    x = 7,939.18

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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.