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Finding the Fourth Proportional to 3,832, 5,748.96 and 1,096

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Solution

The fourth proportional to 3,832, 5,748.96 and 1,096 is: 1,644.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,832 : 5,748.96 = 1,096 : x
  2. Step 2: Convert to fraction form
    3,832/5,748.96 = 1,096/x
  3. Step 3: Cross multiply
    3,832x = 5,748.96 × 1,096
  4. Step 4: Simplify right side
    3,832x = 6,300,860.16
  5. Step 5: Solve for x
    x = 6,300,860.16/3,832
  6. Step 6: Final answer
    x = 1,644.27

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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.