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Finding the Fourth Proportional to 5,709.72, 8,559.38 and 2,197.48

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Solution

The fourth proportional to 5,709.72, 8,559.38 and 2,197.48 is: 3,294.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,709.72 : 8,559.38 = 2,197.48 : x
  2. Step 2: Convert to fraction form
    5,709.72/8,559.38 = 2,197.48/x
  3. Step 3: Cross multiply
    5,709.72x = 8,559.38 × 2,197.48
  4. Step 4: Simplify right side
    5,709.72x = 18,809,066.36
  5. Step 5: Solve for x
    x = 18,809,066.36/5,709.72
  6. Step 6: Final answer
    x = 3,294.22

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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.