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Finding the Fourth Proportional to 3,546.24, 4,893.24 and 2,033.88

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Solution

The fourth proportional to 3,546.24, 4,893.24 and 2,033.88 is: 2,806.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,546.24 : 4,893.24 = 2,033.88 : x
  2. Step 2: Convert to fraction form
    3,546.24/4,893.24 = 2,033.88/x
  3. Step 3: Cross multiply
    3,546.24x = 4,893.24 × 2,033.88
  4. Step 4: Simplify right side
    3,546.24x = 9,952,262.97
  5. Step 5: Solve for x
    x = 9,952,262.97/3,546.24
  6. Step 6: Final answer
    x = 2,806.43

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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.