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Finding the Fourth Proportional to 3,231.09, 4,850.82 and 2,771.82

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Solution

The fourth proportional to 3,231.09, 4,850.82 and 2,771.82 is: 4,161.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,231.09 : 4,850.82 = 2,771.82 : x
  2. Step 2: Convert to fraction form
    3,231.09/4,850.82 = 2,771.82/x
  3. Step 3: Cross multiply
    3,231.09x = 4,850.82 × 2,771.82
  4. Step 4: Simplify right side
    3,231.09x = 13,445,599.89
  5. Step 5: Solve for x
    x = 13,445,599.89/3,231.09
  6. Step 6: Final answer
    x = 4,161.32

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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.