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Finding the Fourth Proportional to 3,493.18, 5,239.77 and 896.12

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Solution

The fourth proportional to 3,493.18, 5,239.77 and 896.12 is: 1,344.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,493.18 : 5,239.77 = 896.12 : x
  2. Step 2: Convert to fraction form
    3,493.18/5,239.77 = 896.12/x
  3. Step 3: Cross multiply
    3,493.18x = 5,239.77 × 896.12
  4. Step 4: Simplify right side
    3,493.18x = 4,695,451.83
  5. Step 5: Solve for x
    x = 4,695,451.83/3,493.18
  6. Step 6: Final answer
    x = 1,344.18

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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.