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Finding the Fourth Proportional to 4,244.77, 5,857.82 and 2,381.77

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Solution

The fourth proportional to 4,244.77, 5,857.82 and 2,381.77 is: 3,286.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,244.77 : 5,857.82 = 2,381.77 : x
  2. Step 2: Convert to fraction form
    4,244.77/5,857.82 = 2,381.77/x
  3. Step 3: Cross multiply
    4,244.77x = 5,857.82 × 2,381.77
  4. Step 4: Simplify right side
    4,244.77x = 13,951,979.94
  5. Step 5: Solve for x
    x = 13,951,979.94/4,244.77
  6. Step 6: Final answer
    x = 3,286.86

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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.