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Finding the Fourth Proportional to 4,092.49, 5,647.71 and 2,324.22

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Solution

The fourth proportional to 4,092.49, 5,647.71 and 2,324.22 is: 3,207.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,092.49 : 5,647.71 = 2,324.22 : x
  2. Step 2: Convert to fraction form
    4,092.49/5,647.71 = 2,324.22/x
  3. Step 3: Cross multiply
    4,092.49x = 5,647.71 × 2,324.22
  4. Step 4: Simplify right side
    4,092.49x = 13,126,520.54
  5. Step 5: Solve for x
    x = 13,126,520.54/4,092.49
  6. Step 6: Final answer
    x = 3,207.47

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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.