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Finding the Fourth Proportional to 5,482, 8,223 and 1,834

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Solution

The fourth proportional to 5,482, 8,223 and 1,834 is: 2,751

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,482 : 8,223 = 1,834 : x
  2. Step 2: Convert to fraction form
    5,482/8,223 = 1,834/x
  3. Step 3: Cross multiply
    5,482x = 8,223 × 1,834
  4. Step 4: Simplify right side
    5,482x = 15,080,982
  5. Step 5: Solve for x
    x = 15,080,982/5,482
  6. Step 6: Final answer
    x = 2,751

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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.