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Finding the Fourth Proportional to 3,796.15, 5,694.49 and 1,199.06

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Solution

The fourth proportional to 3,796.15, 5,694.49 and 1,199.06 is: 1,798.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,796.15 : 5,694.49 = 1,199.06 : x
  2. Step 2: Convert to fraction form
    3,796.15/5,694.49 = 1,199.06/x
  3. Step 3: Cross multiply
    3,796.15x = 5,694.49 × 1,199.06
  4. Step 4: Simplify right side
    3,796.15x = 6,828,050.91
  5. Step 5: Solve for x
    x = 6,828,050.91/3,796.15
  6. Step 6: Final answer
    x = 1,798.68

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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.