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Finding the Fourth Proportional to 3,846.69, 5,771.09 and 1,249.63

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Solution

The fourth proportional to 3,846.69, 5,771.09 and 1,249.63 is: 1,874.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,846.69 : 5,771.09 = 1,249.63 : x
  2. Step 2: Convert to fraction form
    3,846.69/5,771.09 = 1,249.63/x
  3. Step 3: Cross multiply
    3,846.69x = 5,771.09 × 1,249.63
  4. Step 4: Simplify right side
    3,846.69x = 7,211,715.89
  5. Step 5: Solve for x
    x = 7,211,715.89/3,846.69
  6. Step 6: Final answer
    x = 1,874.78

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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.