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Finding the Fourth Proportional to 3,664, 5,496 and 928

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Solution

The fourth proportional to 3,664, 5,496 and 928 is: 1,392

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,664 : 5,496 = 928 : x
  2. Step 2: Convert to fraction form
    3,664/5,496 = 928/x
  3. Step 3: Cross multiply
    3,664x = 5,496 × 928
  4. Step 4: Simplify right side
    3,664x = 5,100,288
  5. Step 5: Solve for x
    x = 5,100,288/3,664
  6. Step 6: Final answer
    x = 1,392

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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.