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Finding the Fourth Proportional to 5,739.27, 7,920.57 and 3,221.56

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Solution

The fourth proportional to 5,739.27, 7,920.57 and 3,221.56 is: 4,445.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,739.27 : 7,920.57 = 3,221.56 : x
  2. Step 2: Convert to fraction form
    5,739.27/7,920.57 = 3,221.56/x
  3. Step 3: Cross multiply
    5,739.27x = 7,920.57 × 3,221.56
  4. Step 4: Simplify right side
    5,739.27x = 25,516,613.47
  5. Step 5: Solve for x
    x = 25,516,613.47/5,739.27
  6. Step 6: Final answer
    x = 4,445.97

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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.