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Finding the Fourth Proportional to 3,957.62, 5,936.24 and 2,213.69

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Solution

The fourth proportional to 3,957.62, 5,936.24 and 2,213.69 is: 3,320.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,957.62 : 5,936.24 = 2,213.69 : x
  2. Step 2: Convert to fraction form
    3,957.62/5,936.24 = 2,213.69/x
  3. Step 3: Cross multiply
    3,957.62x = 5,936.24 × 2,213.69
  4. Step 4: Simplify right side
    3,957.62x = 13,140,970.98
  5. Step 5: Solve for x
    x = 13,140,970.98/3,957.62
  6. Step 6: Final answer
    x = 3,320.43

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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.