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Finding the Fourth Proportional to 3,813.89, 5,249.41 and 3,252.56

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Solution

The fourth proportional to 3,813.89, 5,249.41 and 3,252.56 is: 4,476.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,813.89 : 5,249.41 = 3,252.56 : x
  2. Step 2: Convert to fraction form
    3,813.89/5,249.41 = 3,252.56/x
  3. Step 3: Cross multiply
    3,813.89x = 5,249.41 × 3,252.56
  4. Step 4: Simplify right side
    3,813.89x = 17,073,986.61
  5. Step 5: Solve for x
    x = 17,073,986.61/3,813.89
  6. Step 6: Final answer
    x = 4,476.80

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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.