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Finding the Fourth Proportional to 3,956.23, 5,936.98 and 2,641.47

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Solution

The fourth proportional to 3,956.23, 5,936.98 and 2,641.47 is: 3,963.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,956.23 : 5,936.98 = 2,641.47 : x
  2. Step 2: Convert to fraction form
    3,956.23/5,936.98 = 2,641.47/x
  3. Step 3: Cross multiply
    3,956.23x = 5,936.98 × 2,641.47
  4. Step 4: Simplify right side
    3,956.23x = 15,682,354.56
  5. Step 5: Solve for x
    x = 15,682,354.56/3,956.23
  6. Step 6: Final answer
    x = 3,963.96

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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.