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Finding the Fourth Proportional to 3,664, 5,496 and 1,067.14

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Solution

The fourth proportional to 3,664, 5,496 and 1,067.14 is: 1,600.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,664 : 5,496 = 1,067.14 : x
  2. Step 2: Convert to fraction form
    3,664/5,496 = 1,067.14/x
  3. Step 3: Cross multiply
    3,664x = 5,496 × 1,067.14
  4. Step 4: Simplify right side
    3,664x = 5,865,001.44
  5. Step 5: Solve for x
    x = 5,865,001.44/3,664
  6. Step 6: Final answer
    x = 1,600.71

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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.