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Finding the Fourth Proportional to 5,997.50, 8,998.85 and 3,220.94

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Solution

The fourth proportional to 5,997.50, 8,998.85 and 3,220.94 is: 4,832.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,997.50 : 8,998.85 = 3,220.94 : x
  2. Step 2: Convert to fraction form
    5,997.50/8,998.85 = 3,220.94/x
  3. Step 3: Cross multiply
    5,997.50x = 8,998.85 × 3,220.94
  4. Step 4: Simplify right side
    5,997.50x = 28,984,718.98
  5. Step 5: Solve for x
    x = 28,984,718.98/5,997.50
  6. Step 6: Final answer
    x = 4,832.80

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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.