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Finding the Fourth Proportional to 3,806.90, 5,711.26 and 1,342.27

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Solution

The fourth proportional to 3,806.90, 5,711.26 and 1,342.27 is: 2,013.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,806.90 : 5,711.26 = 1,342.27 : x
  2. Step 2: Convert to fraction form
    3,806.90/5,711.26 = 1,342.27/x
  3. Step 3: Cross multiply
    3,806.90x = 5,711.26 × 1,342.27
  4. Step 4: Simplify right side
    3,806.90x = 7,666,059.26
  5. Step 5: Solve for x
    x = 7,666,059.26/3,806.90
  6. Step 6: Final answer
    x = 2,013.73

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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.