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Finding the Fourth Proportional to 3,538.26, 5,308.22 and 3,479.49

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Solution

The fourth proportional to 3,538.26, 5,308.22 and 3,479.49 is: 5,220.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,538.26 : 5,308.22 = 3,479.49 : x
  2. Step 2: Convert to fraction form
    3,538.26/5,308.22 = 3,479.49/x
  3. Step 3: Cross multiply
    3,538.26x = 5,308.22 × 3,479.49
  4. Step 4: Simplify right side
    3,538.26x = 18,469,898.41
  5. Step 5: Solve for x
    x = 18,469,898.41/3,538.26
  6. Step 6: Final answer
    x = 5,220.05

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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.