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Finding the Fourth Proportional to 4,289.28, 5,918.94 and 4,163.46

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Solution

The fourth proportional to 4,289.28, 5,918.94 and 4,163.46 is: 5,745.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,289.28 : 5,918.94 = 4,163.46 : x
  2. Step 2: Convert to fraction form
    4,289.28/5,918.94 = 4,163.46/x
  3. Step 3: Cross multiply
    4,289.28x = 5,918.94 × 4,163.46
  4. Step 4: Simplify right side
    4,289.28x = 24,643,269.93
  5. Step 5: Solve for x
    x = 24,643,269.93/4,289.28
  6. Step 6: Final answer
    x = 5,745.32

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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.