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Finding the Fourth Proportional to 3,412.97, 5,119.44 and 1,072.98

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Solution

The fourth proportional to 3,412.97, 5,119.44 and 1,072.98 is: 1,609.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,412.97 : 5,119.44 = 1,072.98 : x
  2. Step 2: Convert to fraction form
    3,412.97/5,119.44 = 1,072.98/x
  3. Step 3: Cross multiply
    3,412.97x = 5,119.44 × 1,072.98
  4. Step 4: Simplify right side
    3,412.97x = 5,493,056.73
  5. Step 5: Solve for x
    x = 5,493,056.73/3,412.97
  6. Step 6: Final answer
    x = 1,609.47

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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.