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Finding the Fourth Proportional to 5,694.62, 7,857.23 and 3,456.44

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Solution

The fourth proportional to 5,694.62, 7,857.23 and 3,456.44 is: 4,769.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,694.62 : 7,857.23 = 3,456.44 : x
  2. Step 2: Convert to fraction form
    5,694.62/7,857.23 = 3,456.44/x
  3. Step 3: Cross multiply
    5,694.62x = 7,857.23 × 3,456.44
  4. Step 4: Simplify right side
    5,694.62x = 27,158,004.78
  5. Step 5: Solve for x
    x = 27,158,004.78/5,694.62
  6. Step 6: Final answer
    x = 4,769.07

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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.