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Finding the Fourth Proportional to 5,646.24, 7,791.81 and 3,093.99

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Solution

The fourth proportional to 5,646.24, 7,791.81 and 3,093.99 is: 4,269.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,646.24 : 7,791.81 = 3,093.99 : x
  2. Step 2: Convert to fraction form
    5,646.24/7,791.81 = 3,093.99/x
  3. Step 3: Cross multiply
    5,646.24x = 7,791.81 × 3,093.99
  4. Step 4: Simplify right side
    5,646.24x = 24,107,782.22
  5. Step 5: Solve for x
    x = 24,107,782.22/5,646.24
  6. Step 6: Final answer
    x = 4,269.71

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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.