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Finding the Fourth Proportional to 5,163.75, 7,745.42 and 4,468.16

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Solution

The fourth proportional to 5,163.75, 7,745.42 and 4,468.16 is: 6,702.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,163.75 : 7,745.42 = 4,468.16 : x
  2. Step 2: Convert to fraction form
    5,163.75/7,745.42 = 4,468.16/x
  3. Step 3: Cross multiply
    5,163.75x = 7,745.42 × 4,468.16
  4. Step 4: Simplify right side
    5,163.75x = 34,607,806.36
  5. Step 5: Solve for x
    x = 34,607,806.36/5,163.75
  6. Step 6: Final answer
    x = 6,702.07

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.