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Finding the Fourth Proportional to 3,901.34, 5,383.67 and 2,222.82

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Solution

The fourth proportional to 3,901.34, 5,383.67 and 2,222.82 is: 3,067.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,901.34 : 5,383.67 = 2,222.82 : x
  2. Step 2: Convert to fraction form
    3,901.34/5,383.67 = 2,222.82/x
  3. Step 3: Cross multiply
    3,901.34x = 5,383.67 × 2,222.82
  4. Step 4: Simplify right side
    3,901.34x = 11,966,918.24
  5. Step 5: Solve for x
    x = 11,966,918.24/3,901.34
  6. Step 6: Final answer
    x = 3,067.38

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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.