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Finding the Fourth Proportional to 5,709.79, 7,879.46 and 3,191.90

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Solution

The fourth proportional to 5,709.79, 7,879.46 and 3,191.90 is: 4,404.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,709.79 : 7,879.46 = 3,191.90 : x
  2. Step 2: Convert to fraction form
    5,709.79/7,879.46 = 3,191.90/x
  3. Step 3: Cross multiply
    5,709.79x = 7,879.46 × 3,191.90
  4. Step 4: Simplify right side
    5,709.79x = 25,150,440.39
  5. Step 5: Solve for x
    x = 25,150,440.39/5,709.79
  6. Step 6: Final answer
    x = 4,404.80

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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.