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Finding the Fourth Proportional to 5,163.32, 7,747.68 and 2,825

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Solution

The fourth proportional to 5,163.32, 7,747.68 and 2,825 is: 4,238.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,163.32 : 7,747.68 = 2,825 : x
  2. Step 2: Convert to fraction form
    5,163.32/7,747.68 = 2,825/x
  3. Step 3: Cross multiply
    5,163.32x = 7,747.68 × 2,825
  4. Step 4: Simplify right side
    5,163.32x = 21,887,196
  5. Step 5: Solve for x
    x = 21,887,196/5,163.32
  6. Step 6: Final answer
    x = 4,238.98

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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.