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Finding the Fourth Proportional to 5,997.02, 8,996.16 and 1,614.54

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Solution

The fourth proportional to 5,997.02, 8,996.16 and 1,614.54 is: 2,421.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,997.02 : 8,996.16 = 1,614.54 : x
  2. Step 2: Convert to fraction form
    5,997.02/8,996.16 = 1,614.54/x
  3. Step 3: Cross multiply
    5,997.02x = 8,996.16 × 1,614.54
  4. Step 4: Simplify right side
    5,997.02x = 14,524,619.22
  5. Step 5: Solve for x
    x = 14,524,619.22/5,997.02
  6. Step 6: Final answer
    x = 2,421.97

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.