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Finding the Fourth Proportional to 3,864.62, 5,333.14 and 2,096.22

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Solution

The fourth proportional to 3,864.62, 5,333.14 and 2,096.22 is: 2,892.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,864.62 : 5,333.14 = 2,096.22 : x
  2. Step 2: Convert to fraction form
    3,864.62/5,333.14 = 2,096.22/x
  3. Step 3: Cross multiply
    3,864.62x = 5,333.14 × 2,096.22
  4. Step 4: Simplify right side
    3,864.62x = 11,179,434.73
  5. Step 5: Solve for x
    x = 11,179,434.73/3,864.62
  6. Step 6: Final answer
    x = 2,892.76

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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.