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Finding the Fourth Proportional to 3,843.04, 5,764.56 and 2,966.82

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Solution

The fourth proportional to 3,843.04, 5,764.56 and 2,966.82 is: 4,450.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,843.04 : 5,764.56 = 2,966.82 : x
  2. Step 2: Convert to fraction form
    3,843.04/5,764.56 = 2,966.82/x
  3. Step 3: Cross multiply
    3,843.04x = 5,764.56 × 2,966.82
  4. Step 4: Simplify right side
    3,843.04x = 17,102,375.45
  5. Step 5: Solve for x
    x = 17,102,375.45/3,843.04
  6. Step 6: Final answer
    x = 4,450.22

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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.