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Finding the Fourth Proportional to 3,796.75, 5,695.09 and 1,199.69

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Solution

The fourth proportional to 3,796.75, 5,695.09 and 1,199.69 is: 1,799.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,796.75 : 5,695.09 = 1,199.69 : x
  2. Step 2: Convert to fraction form
    3,796.75/5,695.09 = 1,199.69/x
  3. Step 3: Cross multiply
    3,796.75x = 5,695.09 × 1,199.69
  4. Step 4: Simplify right side
    3,796.75x = 6,832,339.15
  5. Step 5: Solve for x
    x = 6,832,339.15/3,796.75
  6. Step 6: Final answer
    x = 1,799.52

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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.