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Finding the Fourth Proportional to 3,796.14, 5,694.60 and 1,330.68

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Solution

The fourth proportional to 3,796.14, 5,694.60 and 1,330.68 is: 1,996.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,796.14 : 5,694.60 = 1,330.68 : x
  2. Step 2: Convert to fraction form
    3,796.14/5,694.60 = 1,330.68/x
  3. Step 3: Cross multiply
    3,796.14x = 5,694.60 × 1,330.68
  4. Step 4: Simplify right side
    3,796.14x = 7,577,690.33
  5. Step 5: Solve for x
    x = 7,577,690.33/3,796.14
  6. Step 6: Final answer
    x = 1,996.16

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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.