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Finding the Fourth Proportional to 6,842.26, 10,257.81 and 3,922.57

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Solution

The fourth proportional to 6,842.26, 10,257.81 and 3,922.57 is: 5,880.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,842.26 : 10,257.81 = 3,922.57 : x
  2. Step 2: Convert to fraction form
    6,842.26/10,257.81 = 3,922.57/x
  3. Step 3: Cross multiply
    6,842.26x = 10,257.81 × 3,922.57
  4. Step 4: Simplify right side
    6,842.26x = 40,236,977.77
  5. Step 5: Solve for x
    x = 40,236,977.77/6,842.26
  6. Step 6: Final answer
    x = 5,880.66

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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.