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Finding the Fourth Proportional to 3,348, 5,022 and 1,524

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Solution

The fourth proportional to 3,348, 5,022 and 1,524 is: 2,286

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,348 : 5,022 = 1,524 : x
  2. Step 2: Convert to fraction form
    3,348/5,022 = 1,524/x
  3. Step 3: Cross multiply
    3,348x = 5,022 × 1,524
  4. Step 4: Simplify right side
    3,348x = 7,653,528
  5. Step 5: Solve for x
    x = 7,653,528/3,348
  6. Step 6: Final answer
    x = 2,286

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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.