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Finding the Fourth Proportional to 3,794.13, 5,694.44 and 3,029.49

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Solution

The fourth proportional to 3,794.13, 5,694.44 and 3,029.49 is: 4,546.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,794.13 : 5,694.44 = 3,029.49 : x
  2. Step 2: Convert to fraction form
    3,794.13/5,694.44 = 3,029.49/x
  3. Step 3: Cross multiply
    3,794.13x = 5,694.44 × 3,029.49
  4. Step 4: Simplify right side
    3,794.13x = 17,251,233.89
  5. Step 5: Solve for x
    x = 17,251,233.89/3,794.13
  6. Step 6: Final answer
    x = 4,546.82

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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.