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Finding the Fourth Proportional to 3,952.97, 5,455.46 and 2,184.92

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Solution

The fourth proportional to 3,952.97, 5,455.46 and 2,184.92 is: 3,015.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,952.97 : 5,455.46 = 2,184.92 : x
  2. Step 2: Convert to fraction form
    3,952.97/5,455.46 = 2,184.92/x
  3. Step 3: Cross multiply
    3,952.97x = 5,455.46 × 2,184.92
  4. Step 4: Simplify right side
    3,952.97x = 11,919,732.74
  5. Step 5: Solve for x
    x = 11,919,732.74/3,952.97
  6. Step 6: Final answer
    x = 3,015.39

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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.