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Finding the Fourth Proportional to 3,733.92, 5,600.56 and 1,268.48

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Solution

The fourth proportional to 3,733.92, 5,600.56 and 1,268.48 is: 1,902.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,733.92 : 5,600.56 = 1,268.48 : x
  2. Step 2: Convert to fraction form
    3,733.92/5,600.56 = 1,268.48/x
  3. Step 3: Cross multiply
    3,733.92x = 5,600.56 × 1,268.48
  4. Step 4: Simplify right side
    3,733.92x = 7,104,198.35
  5. Step 5: Solve for x
    x = 7,104,198.35/3,733.92
  6. Step 6: Final answer
    x = 1,902.61

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.