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Finding the Fourth Proportional to 3,794.67, 5,236.29 and 2,222.73

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Solution

The fourth proportional to 3,794.67, 5,236.29 and 2,222.73 is: 3,067.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,794.67 : 5,236.29 = 2,222.73 : x
  2. Step 2: Convert to fraction form
    3,794.67/5,236.29 = 2,222.73/x
  3. Step 3: Cross multiply
    3,794.67x = 5,236.29 × 2,222.73
  4. Step 4: Simplify right side
    3,794.67x = 11,638,858.87
  5. Step 5: Solve for x
    x = 11,638,858.87/3,794.67
  6. Step 6: Final answer
    x = 3,067.16

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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.