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Finding the Fourth Proportional to 3,791.69, 5,231.77 and 2,219.48

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Solution

The fourth proportional to 3,791.69, 5,231.77 and 2,219.48 is: 3,062.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,791.69 : 5,231.77 = 2,219.48 : x
  2. Step 2: Convert to fraction form
    3,791.69/5,231.77 = 2,219.48/x
  3. Step 3: Cross multiply
    3,791.69x = 5,231.77 × 2,219.48
  4. Step 4: Simplify right side
    3,791.69x = 11,611,808.88
  5. Step 5: Solve for x
    x = 11,611,808.88/3,791.69
  6. Step 6: Final answer
    x = 3,062.44

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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.