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Finding the Fourth Proportional to 4,244.25, 5,857.11 and 2,381.25

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Solution

The fourth proportional to 4,244.25, 5,857.11 and 2,381.25 is: 3,286.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,244.25 : 5,857.11 = 2,381.25 : x
  2. Step 2: Convert to fraction form
    4,244.25/5,857.11 = 2,381.25/x
  3. Step 3: Cross multiply
    4,244.25x = 5,857.11 × 2,381.25
  4. Step 4: Simplify right side
    4,244.25x = 13,947,243.19
  5. Step 5: Solve for x
    x = 13,947,243.19/4,244.25
  6. Step 6: Final answer
    x = 3,286.15

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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.