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Finding the Fourth Proportional to 3,849.94, 5,747.06 and 3,382.86

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Solution

The fourth proportional to 3,849.94, 5,747.06 and 3,382.86 is: 5,049.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,849.94 : 5,747.06 = 3,382.86 : x
  2. Step 2: Convert to fraction form
    3,849.94/5,747.06 = 3,382.86/x
  3. Step 3: Cross multiply
    3,849.94x = 5,747.06 × 3,382.86
  4. Step 4: Simplify right side
    3,849.94x = 19,441,480.91
  5. Step 5: Solve for x
    x = 19,441,480.91/3,849.94
  6. Step 6: Final answer
    x = 5,049.81

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.