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Finding the Fourth Proportional to 3,794.73, 5,694.74 and 1,329.57

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Solution

The fourth proportional to 3,794.73, 5,694.74 and 1,329.57 is: 1,995.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,794.73 : 5,694.74 = 1,329.57 : x
  2. Step 2: Convert to fraction form
    3,794.73/5,694.74 = 1,329.57/x
  3. Step 3: Cross multiply
    3,794.73x = 5,694.74 × 1,329.57
  4. Step 4: Simplify right side
    3,794.73x = 7,571,548.81
  5. Step 5: Solve for x
    x = 7,571,548.81/3,794.73
  6. Step 6: Final answer
    x = 1,995.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.