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Finding the Fourth Proportional to 4,098, 6,144.09 and 2,249.98

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Solution

The fourth proportional to 4,098, 6,144.09 and 2,249.98 is: 3,373.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,098 : 6,144.09 = 2,249.98 : x
  2. Step 2: Convert to fraction form
    4,098/6,144.09 = 2,249.98/x
  3. Step 3: Cross multiply
    4,098x = 6,144.09 × 2,249.98
  4. Step 4: Simplify right side
    4,098x = 13,824,079.62
  5. Step 5: Solve for x
    x = 13,824,079.62/4,098
  6. Step 6: Final answer
    x = 3,373.37

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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.