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Finding the Fourth Proportional to 5,709.86, 7,879.56 and 3,191.98

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Solution

The fourth proportional to 5,709.86, 7,879.56 and 3,191.98 is: 4,404.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,709.86 : 7,879.56 = 3,191.98 : x
  2. Step 2: Convert to fraction form
    5,709.86/7,879.56 = 3,191.98/x
  3. Step 3: Cross multiply
    5,709.86x = 7,879.56 × 3,191.98
  4. Step 4: Simplify right side
    5,709.86x = 25,151,397.93
  5. Step 5: Solve for x
    x = 25,151,397.93/5,709.86
  6. Step 6: Final answer
    x = 4,404.91

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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.