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Finding the Fourth Proportional to 3,763.62, 5,192.82 and 2,272.38

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Solution

The fourth proportional to 3,763.62, 5,192.82 and 2,272.38 is: 3,135.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,763.62 : 5,192.82 = 2,272.38 : x
  2. Step 2: Convert to fraction form
    3,763.62/5,192.82 = 2,272.38/x
  3. Step 3: Cross multiply
    3,763.62x = 5,192.82 × 2,272.38
  4. Step 4: Simplify right side
    3,763.62x = 11,800,060.31
  5. Step 5: Solve for x
    x = 11,800,060.31/3,763.62
  6. Step 6: Final answer
    x = 3,135.30

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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.