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Finding the Fourth Proportional to 3,991.62, 5,972.85 and 2,348.94

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Solution

The fourth proportional to 3,991.62, 5,972.85 and 2,348.94 is: 3,514.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,991.62 : 5,972.85 = 2,348.94 : x
  2. Step 2: Convert to fraction form
    3,991.62/5,972.85 = 2,348.94/x
  3. Step 3: Cross multiply
    3,991.62x = 5,972.85 × 2,348.94
  4. Step 4: Simplify right side
    3,991.62x = 14,029,866.28
  5. Step 5: Solve for x
    x = 14,029,866.28/3,991.62
  6. Step 6: Final answer
    x = 3,514.83

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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.