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Finding the Fourth Proportional to 5,629.11, 7,768.80 and 4,229.43

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Solution

The fourth proportional to 5,629.11, 7,768.80 and 4,229.43 is: 5,837.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,629.11 : 7,768.80 = 4,229.43 : x
  2. Step 2: Convert to fraction form
    5,629.11/7,768.80 = 4,229.43/x
  3. Step 3: Cross multiply
    5,629.11x = 7,768.80 × 4,229.43
  4. Step 4: Simplify right side
    5,629.11x = 32,857,595.78
  5. Step 5: Solve for x
    x = 32,857,595.78/5,629.11
  6. Step 6: Final answer
    x = 5,837.09

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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.