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Finding the Fourth Proportional to 3,864.71, 5,333.34 and 2,096.33

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Solution

The fourth proportional to 3,864.71, 5,333.34 and 2,096.33 is: 2,892.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,864.71 : 5,333.34 = 2,096.33 : x
  2. Step 2: Convert to fraction form
    3,864.71/5,333.34 = 2,096.33/x
  3. Step 3: Cross multiply
    3,864.71x = 5,333.34 × 2,096.33
  4. Step 4: Simplify right side
    3,864.71x = 11,180,451.84
  5. Step 5: Solve for x
    x = 11,180,451.84/3,864.71
  6. Step 6: Final answer
    x = 2,892.96

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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.