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Finding the Fourth Proportional to 3,299.32, 4,937.64 and 3,163.24

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Solution

The fourth proportional to 3,299.32, 4,937.64 and 3,163.24 is: 4,733.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,299.32 : 4,937.64 = 3,163.24 : x
  2. Step 2: Convert to fraction form
    3,299.32/4,937.64 = 3,163.24/x
  3. Step 3: Cross multiply
    3,299.32x = 4,937.64 × 3,163.24
  4. Step 4: Simplify right side
    3,299.32x = 15,618,940.35
  5. Step 5: Solve for x
    x = 15,618,940.35/3,299.32
  6. Step 6: Final answer
    x = 4,733.99

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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.