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Finding the Fourth Proportional to 5,749.09, 7,933.52 and 3,231.30

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Solution

The fourth proportional to 5,749.09, 7,933.52 and 3,231.30 is: 4,459.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,749.09 : 7,933.52 = 3,231.30 : x
  2. Step 2: Convert to fraction form
    5,749.09/7,933.52 = 3,231.30/x
  3. Step 3: Cross multiply
    5,749.09x = 7,933.52 × 3,231.30
  4. Step 4: Simplify right side
    5,749.09x = 25,635,567.02
  5. Step 5: Solve for x
    x = 25,635,567.02/5,749.09
  6. Step 6: Final answer
    x = 4,459.07

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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.