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Finding the Fourth Proportional to 5,242.73, 7,231.17 and 3,561.20

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Solution

The fourth proportional to 5,242.73, 7,231.17 and 3,561.20 is: 4,911.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,242.73 : 7,231.17 = 3,561.20 : x
  2. Step 2: Convert to fraction form
    5,242.73/7,231.17 = 3,561.20/x
  3. Step 3: Cross multiply
    5,242.73x = 7,231.17 × 3,561.20
  4. Step 4: Simplify right side
    5,242.73x = 25,751,642.60
  5. Step 5: Solve for x
    x = 25,751,642.60/5,242.73
  6. Step 6: Final answer
    x = 4,911.88

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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.