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Finding the Fourth Proportional to 3,469.26, 4,789.56 and 2,293.74

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Solution

The fourth proportional to 3,469.26, 4,789.56 and 2,293.74 is: 3,166.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,469.26 : 4,789.56 = 2,293.74 : x
  2. Step 2: Convert to fraction form
    3,469.26/4,789.56 = 2,293.74/x
  3. Step 3: Cross multiply
    3,469.26x = 4,789.56 × 2,293.74
  4. Step 4: Simplify right side
    3,469.26x = 10,986,005.35
  5. Step 5: Solve for x
    x = 10,986,005.35/3,469.26
  6. Step 6: Final answer
    x = 3,166.67

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.