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Finding the Fourth Proportional to 7,589, 10,472.82 and 4,277

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Solution

The fourth proportional to 7,589, 10,472.82 and 4,277 is: 5,902.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,589 : 10,472.82 = 4,277 : x
  2. Step 2: Convert to fraction form
    7,589/10,472.82 = 4,277/x
  3. Step 3: Cross multiply
    7,589x = 10,472.82 × 4,277
  4. Step 4: Simplify right side
    7,589x = 44,792,251.14
  5. Step 5: Solve for x
    x = 44,792,251.14/7,589
  6. Step 6: Final answer
    x = 5,902.26

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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.