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Finding the Fourth Proportional to 3,998.21, 5,997.50 and 1,224.68

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Solution

The fourth proportional to 3,998.21, 5,997.50 and 1,224.68 is: 1,837.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,998.21 : 5,997.50 = 1,224.68 : x
  2. Step 2: Convert to fraction form
    3,998.21/5,997.50 = 1,224.68/x
  3. Step 3: Cross multiply
    3,998.21x = 5,997.50 × 1,224.68
  4. Step 4: Simplify right side
    3,998.21x = 7,345,012.18
  5. Step 5: Solve for x
    x = 7,345,012.18/3,998.21
  6. Step 6: Final answer
    x = 1,837.08

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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.