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Finding the Fourth Proportional to 5,222.22, 7,837.16 and 3,250.73

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Solution

The fourth proportional to 5,222.22, 7,837.16 and 3,250.73 is: 4,878.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,222.22 : 7,837.16 = 3,250.73 : x
  2. Step 2: Convert to fraction form
    5,222.22/7,837.16 = 3,250.73/x
  3. Step 3: Cross multiply
    5,222.22x = 7,837.16 × 3,250.73
  4. Step 4: Simplify right side
    5,222.22x = 25,476,494.47
  5. Step 5: Solve for x
    x = 25,476,494.47/5,222.22
  6. Step 6: Final answer
    x = 4,878.48

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.