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Finding the Fourth Proportional to 3,883.82, 5,382.32 and 3,809.97

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Solution

The fourth proportional to 3,883.82, 5,382.32 and 3,809.97 is: 5,279.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,883.82 : 5,382.32 = 3,809.97 : x
  2. Step 2: Convert to fraction form
    3,883.82/5,382.32 = 3,809.97/x
  3. Step 3: Cross multiply
    3,883.82x = 5,382.32 × 3,809.97
  4. Step 4: Simplify right side
    3,883.82x = 20,506,458.68
  5. Step 5: Solve for x
    x = 20,506,458.68/3,883.82
  6. Step 6: Final answer
    x = 5,279.98

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.