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Finding the Fourth Proportional to 6,227.72, 8,593.38 and 3,433.40

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Solution

The fourth proportional to 6,227.72, 8,593.38 and 3,433.40 is: 4,737.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,227.72 : 8,593.38 = 3,433.40 : x
  2. Step 2: Convert to fraction form
    6,227.72/8,593.38 = 3,433.40/x
  3. Step 3: Cross multiply
    6,227.72x = 8,593.38 × 3,433.40
  4. Step 4: Simplify right side
    6,227.72x = 29,504,510.89
  5. Step 5: Solve for x
    x = 29,504,510.89/6,227.72
  6. Step 6: Final answer
    x = 4,737.61

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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.