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Finding the Fourth Proportional to 5,022, 7,533 and 2,286

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Solution

The fourth proportional to 5,022, 7,533 and 2,286 is: 3,429

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,022 : 7,533 = 2,286 : x
  2. Step 2: Convert to fraction form
    5,022/7,533 = 2,286/x
  3. Step 3: Cross multiply
    5,022x = 7,533 × 2,286
  4. Step 4: Simplify right side
    5,022x = 17,220,438
  5. Step 5: Solve for x
    x = 17,220,438/5,022
  6. Step 6: Final answer
    x = 3,429

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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.