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Finding the Fourth Proportional to 3,424.54, 5,134.83 and 1,342.11

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Solution

The fourth proportional to 3,424.54, 5,134.83 and 1,342.11 is: 2,012.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,424.54 : 5,134.83 = 1,342.11 : x
  2. Step 2: Convert to fraction form
    3,424.54/5,134.83 = 1,342.11/x
  3. Step 3: Cross multiply
    3,424.54x = 5,134.83 × 1,342.11
  4. Step 4: Simplify right side
    3,424.54x = 6,891,493.85
  5. Step 5: Solve for x
    x = 6,891,493.85/3,424.54
  6. Step 6: Final answer
    x = 2,012.38

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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.