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Finding the Fourth Proportional to 4,163.76, 5,747.27 and 2,396.54

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Solution

The fourth proportional to 4,163.76, 5,747.27 and 2,396.54 is: 3,307.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,163.76 : 5,747.27 = 2,396.54 : x
  2. Step 2: Convert to fraction form
    4,163.76/5,747.27 = 2,396.54/x
  3. Step 3: Cross multiply
    4,163.76x = 5,747.27 × 2,396.54
  4. Step 4: Simplify right side
    4,163.76x = 13,773,578.31
  5. Step 5: Solve for x
    x = 13,773,578.31/4,163.76
  6. Step 6: Final answer
    x = 3,307.97

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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.