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Finding the Fourth Proportional to 5,169.42, 7,133.82 and 2,811.57

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Solution

The fourth proportional to 5,169.42, 7,133.82 and 2,811.57 is: 3,879.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,169.42 : 7,133.82 = 2,811.57 : x
  2. Step 2: Convert to fraction form
    5,169.42/7,133.82 = 2,811.57/x
  3. Step 3: Cross multiply
    5,169.42x = 7,133.82 × 2,811.57
  4. Step 4: Simplify right side
    5,169.42x = 20,057,234.30
  5. Step 5: Solve for x
    x = 20,057,234.30/5,169.42
  6. Step 6: Final answer
    x = 3,879.98

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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.