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Finding the Fourth Proportional to 5,997.29, 8,995.25 and 1,614.41

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Solution

The fourth proportional to 5,997.29, 8,995.25 and 1,614.41 is: 2,421.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,997.29 : 8,995.25 = 1,614.41 : x
  2. Step 2: Convert to fraction form
    5,997.29/8,995.25 = 1,614.41/x
  3. Step 3: Cross multiply
    5,997.29x = 8,995.25 × 1,614.41
  4. Step 4: Simplify right side
    5,997.29x = 14,521,968.50
  5. Step 5: Solve for x
    x = 14,521,968.50/5,997.29
  6. Step 6: Final answer
    x = 2,421.42

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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.