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Finding the Fourth Proportional to 3,845.68, 5,305.74 and 2,251.96

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Solution

The fourth proportional to 3,845.68, 5,305.74 and 2,251.96 is: 3,106.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,845.68 : 5,305.74 = 2,251.96 : x
  2. Step 2: Convert to fraction form
    3,845.68/5,305.74 = 2,251.96/x
  3. Step 3: Cross multiply
    3,845.68x = 5,305.74 × 2,251.96
  4. Step 4: Simplify right side
    3,845.68x = 11,948,314.25
  5. Step 5: Solve for x
    x = 11,948,314.25/3,845.68
  6. Step 6: Final answer
    x = 3,106.94

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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.