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Finding the Fourth Proportional to 5,709.46, 7,879.01 and 3,191.68

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Solution

The fourth proportional to 5,709.46, 7,879.01 and 3,191.68 is: 4,404.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,709.46 : 7,879.01 = 3,191.68 : x
  2. Step 2: Convert to fraction form
    5,709.46/7,879.01 = 3,191.68/x
  3. Step 3: Cross multiply
    5,709.46x = 7,879.01 × 3,191.68
  4. Step 4: Simplify right side
    5,709.46x = 25,147,278.64
  5. Step 5: Solve for x
    x = 25,147,278.64/5,709.46
  6. Step 6: Final answer
    x = 4,404.49

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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.