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Finding the Fourth Proportional to 5,997, 8,996.94 and 1,893

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Solution

The fourth proportional to 5,997, 8,996.94 and 1,893 is: 2,839.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,997 : 8,996.94 = 1,893 : x
  2. Step 2: Convert to fraction form
    5,997/8,996.94 = 1,893/x
  3. Step 3: Cross multiply
    5,997x = 8,996.94 × 1,893
  4. Step 4: Simplify right side
    5,997x = 17,031,207.42
  5. Step 5: Solve for x
    x = 17,031,207.42/5,997
  6. Step 6: Final answer
    x = 2,839.95

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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.