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Finding the Fourth Proportional to 3,349.69, 5,032.44 and 3,163.20

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Solution

The fourth proportional to 3,349.69, 5,032.44 and 3,163.20 is: 4,752.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,349.69 : 5,032.44 = 3,163.20 : x
  2. Step 2: Convert to fraction form
    3,349.69/5,032.44 = 3,163.20/x
  3. Step 3: Cross multiply
    3,349.69x = 5,032.44 × 3,163.20
  4. Step 4: Simplify right side
    3,349.69x = 15,918,614.21
  5. Step 5: Solve for x
    x = 15,918,614.21/3,349.69
  6. Step 6: Final answer
    x = 4,752.26

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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.