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Finding the Fourth Proportional to 5,942.91, 8,202.09 and 3,424.54

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Solution

The fourth proportional to 5,942.91, 8,202.09 and 3,424.54 is: 4,726.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,942.91 : 8,202.09 = 3,424.54 : x
  2. Step 2: Convert to fraction form
    5,942.91/8,202.09 = 3,424.54/x
  3. Step 3: Cross multiply
    5,942.91x = 8,202.09 × 3,424.54
  4. Step 4: Simplify right side
    5,942.91x = 28,088,385.29
  5. Step 5: Solve for x
    x = 28,088,385.29/5,942.91
  6. Step 6: Final answer
    x = 4,726.37

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.