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Finding the Fourth Proportional to 3,864.64, 5,333.22 and 2,186.20

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Solution

The fourth proportional to 3,864.64, 5,333.22 and 2,186.20 is: 3,016.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,864.64 : 5,333.22 = 2,186.20 : x
  2. Step 2: Convert to fraction form
    3,864.64/5,333.22 = 2,186.20/x
  3. Step 3: Cross multiply
    3,864.64x = 5,333.22 × 2,186.20
  4. Step 4: Simplify right side
    3,864.64x = 11,659,485.56
  5. Step 5: Solve for x
    x = 11,659,485.56/3,864.64
  6. Step 6: Final answer
    x = 3,016.97

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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.