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Finding the Fourth Proportional to 4,163.64, 5,747.67 and 2,592.78

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Solution

The fourth proportional to 4,163.64, 5,747.67 and 2,592.78 is: 3,579.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,163.64 : 5,747.67 = 2,592.78 : x
  2. Step 2: Convert to fraction form
    4,163.64/5,747.67 = 2,592.78/x
  3. Step 3: Cross multiply
    4,163.64x = 5,747.67 × 2,592.78
  4. Step 4: Simplify right side
    4,163.64x = 14,902,443.82
  5. Step 5: Solve for x
    x = 14,902,443.82/4,163.64
  6. Step 6: Final answer
    x = 3,579.19

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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.