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Finding the Fourth Proportional to 3,763, 5,192.94 and 2,291

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Solution

The fourth proportional to 3,763, 5,192.94 and 2,291 is: 3,161.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,763 : 5,192.94 = 2,291 : x
  2. Step 2: Convert to fraction form
    3,763/5,192.94 = 2,291/x
  3. Step 3: Cross multiply
    3,763x = 5,192.94 × 2,291
  4. Step 4: Simplify right side
    3,763x = 11,897,025.54
  5. Step 5: Solve for x
    x = 11,897,025.54/3,763
  6. Step 6: Final answer
    x = 3,161.58

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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.