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Finding the Fourth Proportional to 3,493.24, 5,239.90 and 896.20

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Solution

The fourth proportional to 3,493.24, 5,239.90 and 896.20 is: 1,344.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,493.24 : 5,239.90 = 896.20 : x
  2. Step 2: Convert to fraction form
    3,493.24/5,239.90 = 896.20/x
  3. Step 3: Cross multiply
    3,493.24x = 5,239.90 × 896.20
  4. Step 4: Simplify right side
    3,493.24x = 4,695,998.38
  5. Step 5: Solve for x
    x = 4,695,998.38/3,493.24
  6. Step 6: Final answer
    x = 1,344.31

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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.