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Finding the Fourth Proportional to 3,791.73, 5,232.65 and 2,219.82

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Solution

The fourth proportional to 3,791.73, 5,232.65 and 2,219.82 is: 3,063.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,791.73 : 5,232.65 = 2,219.82 : x
  2. Step 2: Convert to fraction form
    3,791.73/5,232.65 = 2,219.82/x
  3. Step 3: Cross multiply
    3,791.73x = 5,232.65 × 2,219.82
  4. Step 4: Simplify right side
    3,791.73x = 11,615,530.02
  5. Step 5: Solve for x
    x = 11,615,530.02/3,791.73
  6. Step 6: Final answer
    x = 3,063.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.