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Finding the Fourth Proportional to 3,633.92, 5,039.06 and 3,510.80

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Solution

The fourth proportional to 3,633.92, 5,039.06 and 3,510.80 is: 4,868.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,633.92 : 5,039.06 = 3,510.80 : x
  2. Step 2: Convert to fraction form
    3,633.92/5,039.06 = 3,510.80/x
  3. Step 3: Cross multiply
    3,633.92x = 5,039.06 × 3,510.80
  4. Step 4: Simplify right side
    3,633.92x = 17,691,131.85
  5. Step 5: Solve for x
    x = 17,691,131.85/3,633.92
  6. Step 6: Final answer
    x = 4,868.33

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.