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Finding the Fourth Proportional to 4,288, 6,432 and 1,552

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Solution

The fourth proportional to 4,288, 6,432 and 1,552 is: 2,328

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,288 : 6,432 = 1,552 : x
  2. Step 2: Convert to fraction form
    4,288/6,432 = 1,552/x
  3. Step 3: Cross multiply
    4,288x = 6,432 × 1,552
  4. Step 4: Simplify right side
    4,288x = 9,982,464
  5. Step 5: Solve for x
    x = 9,982,464/4,288
  6. Step 6: Final answer
    x = 2,328

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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.