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Finding the Fourth Proportional to 5,926, 8,889 and 1,822

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Solution

The fourth proportional to 5,926, 8,889 and 1,822 is: 2,733

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,926 : 8,889 = 1,822 : x
  2. Step 2: Convert to fraction form
    5,926/8,889 = 1,822/x
  3. Step 3: Cross multiply
    5,926x = 8,889 × 1,822
  4. Step 4: Simplify right side
    5,926x = 16,195,758
  5. Step 5: Solve for x
    x = 16,195,758/5,926
  6. Step 6: Final answer
    x = 2,733

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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.