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Finding the Fourth Proportional to 4,122.55, 6,186.01 and 2,249.80

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Solution

The fourth proportional to 4,122.55, 6,186.01 and 2,249.80 is: 3,375.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,122.55 : 6,186.01 = 2,249.80 : x
  2. Step 2: Convert to fraction form
    4,122.55/6,186.01 = 2,249.80/x
  3. Step 3: Cross multiply
    4,122.55x = 6,186.01 × 2,249.80
  4. Step 4: Simplify right side
    4,122.55x = 13,917,285.30
  5. Step 5: Solve for x
    x = 13,917,285.30/4,122.55
  6. Step 6: Final answer
    x = 3,375.89

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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.