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Finding the Fourth Proportional to 5,694.74, 7,857.40 and 3,456.56

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Solution

The fourth proportional to 5,694.74, 7,857.40 and 3,456.56 is: 4,769.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,694.74 : 7,857.40 = 3,456.56 : x
  2. Step 2: Convert to fraction form
    5,694.74/7,857.40 = 3,456.56/x
  3. Step 3: Cross multiply
    5,694.74x = 7,857.40 × 3,456.56
  4. Step 4: Simplify right side
    5,694.74x = 27,159,574.54
  5. Step 5: Solve for x
    x = 27,159,574.54/5,694.74
  6. Step 6: Final answer
    x = 4,769.24

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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.