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Finding the Fourth Proportional to 5,749.31, 7,933.77 and 3,514.92

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Solution

The fourth proportional to 5,749.31, 7,933.77 and 3,514.92 is: 4,850.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,749.31 : 7,933.77 = 3,514.92 : x
  2. Step 2: Convert to fraction form
    5,749.31/7,933.77 = 3,514.92/x
  3. Step 3: Cross multiply
    5,749.31x = 7,933.77 × 3,514.92
  4. Step 4: Simplify right side
    5,749.31x = 27,886,566.85
  5. Step 5: Solve for x
    x = 27,886,566.85/5,749.31
  6. Step 6: Final answer
    x = 4,850.42

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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.