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Finding the Fourth Proportional to 3,928, 5,892.96 and 1,192

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Solution

The fourth proportional to 3,928, 5,892.96 and 1,192 is: 1,788.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,928 : 5,892.96 = 1,192 : x
  2. Step 2: Convert to fraction form
    3,928/5,892.96 = 1,192/x
  3. Step 3: Cross multiply
    3,928x = 5,892.96 × 1,192
  4. Step 4: Simplify right side
    3,928x = 7,024,408.32
  5. Step 5: Solve for x
    x = 7,024,408.32/3,928
  6. Step 6: Final answer
    x = 1,788.29

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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.