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Finding the Fourth Proportional to 5,749.38, 7,933.21 and 3,231.16

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Solution

The fourth proportional to 5,749.38, 7,933.21 and 3,231.16 is: 4,458.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,749.38 : 7,933.21 = 3,231.16 : x
  2. Step 2: Convert to fraction form
    5,749.38/7,933.21 = 3,231.16/x
  3. Step 3: Cross multiply
    5,749.38x = 7,933.21 × 3,231.16
  4. Step 4: Simplify right side
    5,749.38x = 25,633,442.91
  5. Step 5: Solve for x
    x = 25,633,442.91/5,749.38
  6. Step 6: Final answer
    x = 4,458.47

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Why These Related Problems?

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