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Finding the Fourth Proportional to 3,796.46, 5,694.96 and 1,199.38

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Solution

The fourth proportional to 3,796.46, 5,694.96 and 1,199.38 is: 1,799.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,796.46 : 5,694.96 = 1,199.38 : x
  2. Step 2: Convert to fraction form
    3,796.46/5,694.96 = 1,199.38/x
  3. Step 3: Cross multiply
    3,796.46x = 5,694.96 × 1,199.38
  4. Step 4: Simplify right side
    3,796.46x = 6,830,392.65
  5. Step 5: Solve for x
    x = 6,830,392.65/3,796.46
  6. Step 6: Final answer
    x = 1,799.15

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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.