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Finding the Fourth Proportional to 4,163.50, 5,745.66 and 2,395.22

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Solution

The fourth proportional to 4,163.50, 5,745.66 and 2,395.22 is: 3,305.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,163.50 : 5,745.66 = 2,395.22 : x
  2. Step 2: Convert to fraction form
    4,163.50/5,745.66 = 2,395.22/x
  3. Step 3: Cross multiply
    4,163.50x = 5,745.66 × 2,395.22
  4. Step 4: Simplify right side
    4,163.50x = 13,762,119.75
  5. Step 5: Solve for x
    x = 13,762,119.75/4,163.50
  6. Step 6: Final answer
    x = 3,305.42

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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.