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Finding the Fourth Proportional to 3,424.71, 5,135.09 and 1,342.27

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Solution

The fourth proportional to 3,424.71, 5,135.09 and 1,342.27 is: 2,012.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,424.71 : 5,135.09 = 1,342.27 : x
  2. Step 2: Convert to fraction form
    3,424.71/5,135.09 = 1,342.27/x
  3. Step 3: Cross multiply
    3,424.71x = 5,135.09 × 1,342.27
  4. Step 4: Simplify right side
    3,424.71x = 6,892,673.90
  5. Step 5: Solve for x
    x = 6,892,673.90/3,424.71
  6. Step 6: Final answer
    x = 2,012.63

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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.