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Finding the Fourth Proportional to 3,805.98, 5,249.78 and 2,232.96

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Solution

The fourth proportional to 3,805.98, 5,249.78 and 2,232.96 is: 3,080.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,805.98 : 5,249.78 = 2,232.96 : x
  2. Step 2: Convert to fraction form
    3,805.98/5,249.78 = 2,232.96/x
  3. Step 3: Cross multiply
    3,805.98x = 5,249.78 × 2,232.96
  4. Step 4: Simplify right side
    3,805.98x = 11,722,548.75
  5. Step 5: Solve for x
    x = 11,722,548.75/3,805.98
  6. Step 6: Final answer
    x = 3,080.03

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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.