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Finding the Fourth Proportional to 3,409.53, 5,109.05 and 2,020.10

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Solution

The fourth proportional to 3,409.53, 5,109.05 and 2,020.10 is: 3,027.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,409.53 : 5,109.05 = 2,020.10 : x
  2. Step 2: Convert to fraction form
    3,409.53/5,109.05 = 2,020.10/x
  3. Step 3: Cross multiply
    3,409.53x = 5,109.05 × 2,020.10
  4. Step 4: Simplify right side
    3,409.53x = 10,320,791.91
  5. Step 5: Solve for x
    x = 10,320,791.91/3,409.53
  6. Step 6: Final answer
    x = 3,027.04

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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.