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Finding the Fourth Proportional to 5,264, 7,896 and 1,616

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Solution

The fourth proportional to 5,264, 7,896 and 1,616 is: 2,424

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,264 : 7,896 = 1,616 : x
  2. Step 2: Convert to fraction form
    5,264/7,896 = 1,616/x
  3. Step 3: Cross multiply
    5,264x = 7,896 × 1,616
  4. Step 4: Simplify right side
    5,264x = 12,759,936
  5. Step 5: Solve for x
    x = 12,759,936/5,264
  6. Step 6: Final answer
    x = 2,424

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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.