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Finding the Fourth Proportional to 4,049.54, 5,588.22 and 2,456.37

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Solution

The fourth proportional to 4,049.54, 5,588.22 and 2,456.37 is: 3,389.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,049.54 : 5,588.22 = 2,456.37 : x
  2. Step 2: Convert to fraction form
    4,049.54/5,588.22 = 2,456.37/x
  3. Step 3: Cross multiply
    4,049.54x = 5,588.22 × 2,456.37
  4. Step 4: Simplify right side
    4,049.54x = 13,726,745.17
  5. Step 5: Solve for x
    x = 13,726,745.17/4,049.54
  6. Step 6: Final answer
    x = 3,389.71

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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.