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Finding the Fourth Proportional to 3,883.82, 5,822.69 and 2,033.64

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Solution

The fourth proportional to 3,883.82, 5,822.69 and 2,033.64 is: 3,048.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,883.82 : 5,822.69 = 2,033.64 : x
  2. Step 2: Convert to fraction form
    3,883.82/5,822.69 = 2,033.64/x
  3. Step 3: Cross multiply
    3,883.82x = 5,822.69 × 2,033.64
  4. Step 4: Simplify right side
    3,883.82x = 11,841,245.12
  5. Step 5: Solve for x
    x = 11,841,245.12/3,883.82
  6. Step 6: Final answer
    x = 3,048.87

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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.