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Finding the Fourth Proportional to 3,471.87, 5,202.33 and 1,909.55

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Solution

The fourth proportional to 3,471.87, 5,202.33 and 1,909.55 is: 2,861.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,471.87 : 5,202.33 = 1,909.55 : x
  2. Step 2: Convert to fraction form
    3,471.87/5,202.33 = 1,909.55/x
  3. Step 3: Cross multiply
    3,471.87x = 5,202.33 × 1,909.55
  4. Step 4: Simplify right side
    3,471.87x = 9,934,109.25
  5. Step 5: Solve for x
    x = 9,934,109.25/3,471.87
  6. Step 6: Final answer
    x = 2,861.31

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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.