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Finding the Fourth Proportional to 4,174.67, 5,761.67 and 2,382.14

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Solution

The fourth proportional to 4,174.67, 5,761.67 and 2,382.14 is: 3,287.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,174.67 : 5,761.67 = 2,382.14 : x
  2. Step 2: Convert to fraction form
    4,174.67/5,761.67 = 2,382.14/x
  3. Step 3: Cross multiply
    4,174.67x = 5,761.67 × 2,382.14
  4. Step 4: Simplify right side
    4,174.67x = 13,725,107.07
  5. Step 5: Solve for x
    x = 13,725,107.07/4,174.67
  6. Step 6: Final answer
    x = 3,287.71

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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.