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Finding the Fourth Proportional to 3,837.98, 5,727.04 and 3,424.27

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Solution

The fourth proportional to 3,837.98, 5,727.04 and 3,424.27 is: 5,109.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,837.98 : 5,727.04 = 3,424.27 : x
  2. Step 2: Convert to fraction form
    3,837.98/5,727.04 = 3,424.27/x
  3. Step 3: Cross multiply
    3,837.98x = 5,727.04 × 3,424.27
  4. Step 4: Simplify right side
    3,837.98x = 19,610,923.44
  5. Step 5: Solve for x
    x = 19,610,923.44/3,837.98
  6. Step 6: Final answer
    x = 5,109.70

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.