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Finding the Fourth Proportional to 4,843.94, 7,243.97 and 3,733.16

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Solution

The fourth proportional to 4,843.94, 7,243.97 and 3,733.16 is: 5,582.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,843.94 : 7,243.97 = 3,733.16 : x
  2. Step 2: Convert to fraction form
    4,843.94/7,243.97 = 3,733.16/x
  3. Step 3: Cross multiply
    4,843.94x = 7,243.97 × 3,733.16
  4. Step 4: Simplify right side
    4,843.94x = 27,042,844.16
  5. Step 5: Solve for x
    x = 27,042,844.16/4,843.94
  6. Step 6: Final answer
    x = 5,582.83

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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.