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Finding the Fourth Proportional to 5,709.09, 8,558.44 and 2,196.86

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Solution

The fourth proportional to 5,709.09, 8,558.44 and 2,196.86 is: 3,293.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,709.09 : 8,558.44 = 2,196.86 : x
  2. Step 2: Convert to fraction form
    5,709.09/8,558.44 = 2,196.86/x
  3. Step 3: Cross multiply
    5,709.09x = 8,558.44 × 2,196.86
  4. Step 4: Simplify right side
    5,709.09x = 18,801,657.20
  5. Step 5: Solve for x
    x = 18,801,657.20/5,709.09
  6. Step 6: Final answer
    x = 3,293.28

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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.