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Finding the Fourth Proportional to 3,766.49, 5,198.36 and 3,600.39

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Solution

The fourth proportional to 3,766.49, 5,198.36 and 3,600.39 is: 4,969.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,766.49 : 5,198.36 = 3,600.39 : x
  2. Step 2: Convert to fraction form
    3,766.49/5,198.36 = 3,600.39/x
  3. Step 3: Cross multiply
    3,766.49x = 5,198.36 × 3,600.39
  4. Step 4: Simplify right side
    3,766.49x = 18,716,112.87
  5. Step 5: Solve for x
    x = 18,716,112.87/3,766.49
  6. Step 6: Final answer
    x = 4,969.11

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.