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Finding the Fourth Proportional to 3,796.92, 5,696.02 and 1,199.80

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Solution

The fourth proportional to 3,796.92, 5,696.02 and 1,199.80 is: 1,799.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,796.92 : 5,696.02 = 1,199.80 : x
  2. Step 2: Convert to fraction form
    3,796.92/5,696.02 = 1,199.80/x
  3. Step 3: Cross multiply
    3,796.92x = 5,696.02 × 1,199.80
  4. Step 4: Simplify right side
    3,796.92x = 6,834,084.80
  5. Step 5: Solve for x
    x = 6,834,084.80/3,796.92
  6. Step 6: Final answer
    x = 1,799.90

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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.