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Finding the Fourth Proportional to 5,627.98, 7,767.09 and 3,269.97

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Solution

The fourth proportional to 5,627.98, 7,767.09 and 3,269.97 is: 4,512.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,627.98 : 7,767.09 = 3,269.97 : x
  2. Step 2: Convert to fraction form
    5,627.98/7,767.09 = 3,269.97/x
  3. Step 3: Cross multiply
    5,627.98x = 7,767.09 × 3,269.97
  4. Step 4: Simplify right side
    5,627.98x = 25,398,151.29
  5. Step 5: Solve for x
    x = 25,398,151.29/5,627.98
  6. Step 6: Final answer
    x = 4,512.84

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.