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Finding the Fourth Proportional to 5,997, 8,996.14 and 1,614.44

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Solution

The fourth proportional to 5,997, 8,996.14 and 1,614.44 is: 2,421.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,997 : 8,996.14 = 1,614.44 : x
  2. Step 2: Convert to fraction form
    5,997/8,996.14 = 1,614.44/x
  3. Step 3: Cross multiply
    5,997x = 8,996.14 × 1,614.44
  4. Step 4: Simplify right side
    5,997x = 14,523,728.26
  5. Step 5: Solve for x
    x = 14,523,728.26/5,997
  6. Step 6: Final answer
    x = 2,421.83

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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.