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Finding the Fourth Proportional to 3,844.50, 5,305.13 and 2,272.29

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Solution

The fourth proportional to 3,844.50, 5,305.13 and 2,272.29 is: 3,135.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,844.50 : 5,305.13 = 2,272.29 : x
  2. Step 2: Convert to fraction form
    3,844.50/5,305.13 = 2,272.29/x
  3. Step 3: Cross multiply
    3,844.50x = 5,305.13 × 2,272.29
  4. Step 4: Simplify right side
    3,844.50x = 12,054,793.85
  5. Step 5: Solve for x
    x = 12,054,793.85/3,844.50
  6. Step 6: Final answer
    x = 3,135.59

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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.