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Finding the Fourth Proportional to 3,766.76, 5,198.74 and 3,600.64

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Solution

The fourth proportional to 3,766.76, 5,198.74 and 3,600.64 is: 4,969.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,766.76 : 5,198.74 = 3,600.64 : x
  2. Step 2: Convert to fraction form
    3,766.76/5,198.74 = 3,600.64/x
  3. Step 3: Cross multiply
    3,766.76x = 5,198.74 × 3,600.64
  4. Step 4: Simplify right side
    3,766.76x = 18,718,791.19
  5. Step 5: Solve for x
    x = 18,718,791.19/3,766.76
  6. Step 6: Final answer
    x = 4,969.47

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Why These Related Problems?

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