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Finding the Fourth Proportional to 3,760.22, 5,186.90 and 2,267.22

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Solution

The fourth proportional to 3,760.22, 5,186.90 and 2,267.22 is: 3,127.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,760.22 : 5,186.90 = 2,267.22 : x
  2. Step 2: Convert to fraction form
    3,760.22/5,186.90 = 2,267.22/x
  3. Step 3: Cross multiply
    3,760.22x = 5,186.90 × 2,267.22
  4. Step 4: Simplify right side
    3,760.22x = 11,759,843.42
  5. Step 5: Solve for x
    x = 11,759,843.42/3,760.22
  6. Step 6: Final answer
    x = 3,127.43

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.