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Finding the Fourth Proportional to 3,412.71, 5,107.19 and 2,096.19

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Solution

The fourth proportional to 3,412.71, 5,107.19 and 2,096.19 is: 3,136.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,412.71 : 5,107.19 = 2,096.19 : x
  2. Step 2: Convert to fraction form
    3,412.71/5,107.19 = 2,096.19/x
  3. Step 3: Cross multiply
    3,412.71x = 5,107.19 × 2,096.19
  4. Step 4: Simplify right side
    3,412.71x = 10,705,630.13
  5. Step 5: Solve for x
    x = 10,705,630.13/3,412.71
  6. Step 6: Final answer
    x = 3,136.99

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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.