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Finding the Fourth Proportional to 4,092.71, 5,648.10 and 2,324.48

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Solution

The fourth proportional to 4,092.71, 5,648.10 and 2,324.48 is: 3,207.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,092.71 : 5,648.10 = 2,324.48 : x
  2. Step 2: Convert to fraction form
    4,092.71/5,648.10 = 2,324.48/x
  3. Step 3: Cross multiply
    4,092.71x = 5,648.10 × 2,324.48
  4. Step 4: Simplify right side
    4,092.71x = 13,128,867.25
  5. Step 5: Solve for x
    x = 13,128,867.25/4,092.71
  6. Step 6: Final answer
    x = 3,207.87

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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.