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Finding the Fourth Proportional to 3,821.60, 5,273.52 and 2,249.60

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Solution

The fourth proportional to 3,821.60, 5,273.52 and 2,249.60 is: 3,104.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,821.60 : 5,273.52 = 2,249.60 : x
  2. Step 2: Convert to fraction form
    3,821.60/5,273.52 = 2,249.60/x
  3. Step 3: Cross multiply
    3,821.60x = 5,273.52 × 2,249.60
  4. Step 4: Simplify right side
    3,821.60x = 11,863,310.59
  5. Step 5: Solve for x
    x = 11,863,310.59/3,821.60
  6. Step 6: Final answer
    x = 3,104.28

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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.