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Finding the Fourth Proportional to 5,928, 8,892 and 1,824

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Solution

The fourth proportional to 5,928, 8,892 and 1,824 is: 2,736

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,928 : 8,892 = 1,824 : x
  2. Step 2: Convert to fraction form
    5,928/8,892 = 1,824/x
  3. Step 3: Cross multiply
    5,928x = 8,892 × 1,824
  4. Step 4: Simplify right side
    5,928x = 16,219,008
  5. Step 5: Solve for x
    x = 16,219,008/5,928
  6. Step 6: Final answer
    x = 2,736

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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.