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Finding the Fourth Proportional to 5,571.75, 8,358.03 and 2,109

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Solution

The fourth proportional to 5,571.75, 8,358.03 and 2,109 is: 3,163.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,571.75 : 8,358.03 = 2,109 : x
  2. Step 2: Convert to fraction form
    5,571.75/8,358.03 = 2,109/x
  3. Step 3: Cross multiply
    5,571.75x = 8,358.03 × 2,109
  4. Step 4: Simplify right side
    5,571.75x = 17,627,085.27
  5. Step 5: Solve for x
    x = 17,627,085.27/5,571.75
  6. Step 6: Final answer
    x = 3,163.65

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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.