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Finding the Fourth Proportional to 5,509.86, 8,261.19 and 1,999.20

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Solution

The fourth proportional to 5,509.86, 8,261.19 and 1,999.20 is: 2,997.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,509.86 : 8,261.19 = 1,999.20 : x
  2. Step 2: Convert to fraction form
    5,509.86/8,261.19 = 1,999.20/x
  3. Step 3: Cross multiply
    5,509.86x = 8,261.19 × 1,999.20
  4. Step 4: Simplify right side
    5,509.86x = 16,515,755.56
  5. Step 5: Solve for x
    x = 16,515,755.56/5,509.86
  6. Step 6: Final answer
    x = 2,997.49

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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.