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Finding the Fourth Proportional to 3,945.24, 5,922.24 and 2,696.76

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Solution

The fourth proportional to 3,945.24, 5,922.24 and 2,696.76 is: 4,048.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,945.24 : 5,922.24 = 2,696.76 : x
  2. Step 2: Convert to fraction form
    3,945.24/5,922.24 = 2,696.76/x
  3. Step 3: Cross multiply
    3,945.24x = 5,922.24 × 2,696.76
  4. Step 4: Simplify right side
    3,945.24x = 15,970,859.94
  5. Step 5: Solve for x
    x = 15,970,859.94/3,945.24
  6. Step 6: Final answer
    x = 4,048.13

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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.