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Finding the Fourth Proportional to 3,864.61, 5,333.17 and 2,096.21

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Solution

The fourth proportional to 3,864.61, 5,333.17 and 2,096.21 is: 2,892.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,864.61 : 5,333.17 = 2,096.21 : x
  2. Step 2: Convert to fraction form
    3,864.61/5,333.17 = 2,096.21/x
  3. Step 3: Cross multiply
    3,864.61x = 5,333.17 × 2,096.21
  4. Step 4: Simplify right side
    3,864.61x = 11,179,444.29
  5. Step 5: Solve for x
    x = 11,179,444.29/3,864.61
  6. Step 6: Final answer
    x = 2,892.77

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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.