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Finding the Fourth Proportional to 3,836.69, 5,755.04 and 2,537.86

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Solution

The fourth proportional to 3,836.69, 5,755.04 and 2,537.86 is: 3,806.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,836.69 : 5,755.04 = 2,537.86 : x
  2. Step 2: Convert to fraction form
    3,836.69/5,755.04 = 2,537.86/x
  3. Step 3: Cross multiply
    3,836.69x = 5,755.04 × 2,537.86
  4. Step 4: Simplify right side
    3,836.69x = 14,605,468.25
  5. Step 5: Solve for x
    x = 14,605,468.25/3,836.69
  6. Step 6: Final answer
    x = 3,806.79

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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.