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Finding the Fourth Proportional to 3,805.10, 5,251.04 and 2,233.20

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Solution

The fourth proportional to 3,805.10, 5,251.04 and 2,233.20 is: 3,081.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,805.10 : 5,251.04 = 2,233.20 : x
  2. Step 2: Convert to fraction form
    3,805.10/5,251.04 = 2,233.20/x
  3. Step 3: Cross multiply
    3,805.10x = 5,251.04 × 2,233.20
  4. Step 4: Simplify right side
    3,805.10x = 11,726,622.53
  5. Step 5: Solve for x
    x = 11,726,622.53/3,805.10
  6. Step 6: Final answer
    x = 3,081.82

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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.