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Finding the Fourth Proportional to 3,972.38, 5,954.69 and 1,891.82

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Solution

The fourth proportional to 3,972.38, 5,954.69 and 1,891.82 is: 2,835.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,972.38 : 5,954.69 = 1,891.82 : x
  2. Step 2: Convert to fraction form
    3,972.38/5,954.69 = 1,891.82/x
  3. Step 3: Cross multiply
    3,972.38x = 5,954.69 × 1,891.82
  4. Step 4: Simplify right side
    3,972.38x = 11,265,214.16
  5. Step 5: Solve for x
    x = 11,265,214.16/3,972.38
  6. Step 6: Final answer
    x = 2,835.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.