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Finding the Fourth Proportional to 3,456.22, 4,749.92 and 3,237.52

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Solution

The fourth proportional to 3,456.22, 4,749.92 and 3,237.52 is: 4,449.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,456.22 : 4,749.92 = 3,237.52 : x
  2. Step 2: Convert to fraction form
    3,456.22/4,749.92 = 3,237.52/x
  3. Step 3: Cross multiply
    3,456.22x = 4,749.92 × 3,237.52
  4. Step 4: Simplify right side
    3,456.22x = 15,377,961.00
  5. Step 5: Solve for x
    x = 15,377,961.00/3,456.22
  6. Step 6: Final answer
    x = 4,449.36

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.