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Finding the Fourth Proportional to 3,616, 5,424 and 880

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Solution

The fourth proportional to 3,616, 5,424 and 880 is: 1,320

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,616 : 5,424 = 880 : x
  2. Step 2: Convert to fraction form
    3,616/5,424 = 880/x
  3. Step 3: Cross multiply
    3,616x = 5,424 × 880
  4. Step 4: Simplify right side
    3,616x = 4,773,120
  5. Step 5: Solve for x
    x = 4,773,120/3,616
  6. Step 6: Final answer
    x = 1,320

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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.