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Finding the Fourth Proportional to 3,563.62, 4,918.26 and 1,992.04

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Solution

The fourth proportional to 3,563.62, 4,918.26 and 1,992.04 is: 2,749.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,563.62 : 4,918.26 = 1,992.04 : x
  2. Step 2: Convert to fraction form
    3,563.62/4,918.26 = 1,992.04/x
  3. Step 3: Cross multiply
    3,563.62x = 4,918.26 × 1,992.04
  4. Step 4: Simplify right side
    3,563.62x = 9,797,370.65
  5. Step 5: Solve for x
    x = 9,797,370.65/3,563.62
  6. Step 6: Final answer
    x = 2,749.27

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.