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Finding the Fourth Proportional to 4,092.91, 5,648.16 and 2,324.50

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Solution

The fourth proportional to 4,092.91, 5,648.16 and 2,324.50 is: 3,207.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,092.91 : 5,648.16 = 2,324.50 : x
  2. Step 2: Convert to fraction form
    4,092.91/5,648.16 = 2,324.50/x
  3. Step 3: Cross multiply
    4,092.91x = 5,648.16 × 2,324.50
  4. Step 4: Simplify right side
    4,092.91x = 13,129,147.92
  5. Step 5: Solve for x
    x = 13,129,147.92/4,092.91
  6. Step 6: Final answer
    x = 3,207.78

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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.