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Finding the Fourth Proportional to 3,794.24, 5,233.92 and 2,222

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Solution

The fourth proportional to 3,794.24, 5,233.92 and 2,222 is: 3,065.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,794.24 : 5,233.92 = 2,222 : x
  2. Step 2: Convert to fraction form
    3,794.24/5,233.92 = 2,222/x
  3. Step 3: Cross multiply
    3,794.24x = 5,233.92 × 2,222
  4. Step 4: Simplify right side
    3,794.24x = 11,629,770.24
  5. Step 5: Solve for x
    x = 11,629,770.24/3,794.24
  6. Step 6: Final answer
    x = 3,065.11

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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.