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Finding the Fourth Proportional to 3,922.22, 5,411.81 and 2,244.17

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Solution

The fourth proportional to 3,922.22, 5,411.81 and 2,244.17 is: 3,096.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,922.22 : 5,411.81 = 2,244.17 : x
  2. Step 2: Convert to fraction form
    3,922.22/5,411.81 = 2,244.17/x
  3. Step 3: Cross multiply
    3,922.22x = 5,411.81 × 2,244.17
  4. Step 4: Simplify right side
    3,922.22x = 12,145,040.79
  5. Step 5: Solve for x
    x = 12,145,040.79/3,922.22
  6. Step 6: Final answer
    x = 3,096.47

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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.