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Finding the Fourth Proportional to 5,709.69, 8,567.78 and 2,249.37

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Solution

The fourth proportional to 5,709.69, 8,567.78 and 2,249.37 is: 3,375.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,709.69 : 8,567.78 = 2,249.37 : x
  2. Step 2: Convert to fraction form
    5,709.69/8,567.78 = 2,249.37/x
  3. Step 3: Cross multiply
    5,709.69x = 8,567.78 × 2,249.37
  4. Step 4: Simplify right side
    5,709.69x = 19,272,096.05
  5. Step 5: Solve for x
    x = 19,272,096.05/5,709.69
  6. Step 6: Final answer
    x = 3,375.33

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.