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Finding the Fourth Proportional to 3,700.16, 5,067.34 and 3,651.56

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Solution

The fourth proportional to 3,700.16, 5,067.34 and 3,651.56 is: 5,000.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,700.16 : 5,067.34 = 3,651.56 : x
  2. Step 2: Convert to fraction form
    3,700.16/5,067.34 = 3,651.56/x
  3. Step 3: Cross multiply
    3,700.16x = 5,067.34 × 3,651.56
  4. Step 4: Simplify right side
    3,700.16x = 18,503,696.05
  5. Step 5: Solve for x
    x = 18,503,696.05/3,700.16
  6. Step 6: Final answer
    x = 5,000.78

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.