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Finding the Fourth Proportional to 3,829, 5,744.46 and 1,093

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Solution

The fourth proportional to 3,829, 5,744.46 and 1,093 is: 1,639.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,829 : 5,744.46 = 1,093 : x
  2. Step 2: Convert to fraction form
    3,829/5,744.46 = 1,093/x
  3. Step 3: Cross multiply
    3,829x = 5,744.46 × 1,093
  4. Step 4: Simplify right side
    3,829x = 6,278,694.78
  5. Step 5: Solve for x
    x = 6,278,694.78/3,829
  6. Step 6: Final answer
    x = 1,639.77

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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.