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Finding the Fourth Proportional to 5,244, 7,866 and 1,596

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Solution

The fourth proportional to 5,244, 7,866 and 1,596 is: 2,394

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,244 : 7,866 = 1,596 : x
  2. Step 2: Convert to fraction form
    5,244/7,866 = 1,596/x
  3. Step 3: Cross multiply
    5,244x = 7,866 × 1,596
  4. Step 4: Simplify right side
    5,244x = 12,554,136
  5. Step 5: Solve for x
    x = 12,554,136/5,244
  6. Step 6: Final answer
    x = 2,394

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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.