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Finding the Fourth Proportional to 5,231.82, 7,213.45 and 3,739.20

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Solution

The fourth proportional to 5,231.82, 7,213.45 and 3,739.20 is: 5,155.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,231.82 : 7,213.45 = 3,739.20 : x
  2. Step 2: Convert to fraction form
    5,231.82/7,213.45 = 3,739.20/x
  3. Step 3: Cross multiply
    5,231.82x = 7,213.45 × 3,739.20
  4. Step 4: Simplify right side
    5,231.82x = 26,972,532.24
  5. Step 5: Solve for x
    x = 26,972,532.24/5,231.82
  6. Step 6: Final answer
    x = 5,155.48

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.