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Finding the Fourth Proportional to 3,393.74, 5,090.67 and 2,231.16

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Solution

The fourth proportional to 3,393.74, 5,090.67 and 2,231.16 is: 3,346.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,393.74 : 5,090.67 = 2,231.16 : x
  2. Step 2: Convert to fraction form
    3,393.74/5,090.67 = 2,231.16/x
  3. Step 3: Cross multiply
    3,393.74x = 5,090.67 × 2,231.16
  4. Step 4: Simplify right side
    3,393.74x = 11,358,099.28
  5. Step 5: Solve for x
    x = 11,358,099.28/3,393.74
  6. Step 6: Final answer
    x = 3,346.78

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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.