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Finding the Fourth Proportional to 5,523.40, 8,289.15 and 3,446.47

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Solution

The fourth proportional to 5,523.40, 8,289.15 and 3,446.47 is: 5,172.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,523.40 : 8,289.15 = 3,446.47 : x
  2. Step 2: Convert to fraction form
    5,523.40/8,289.15 = 3,446.47/x
  3. Step 3: Cross multiply
    5,523.40x = 8,289.15 × 3,446.47
  4. Step 4: Simplify right side
    5,523.40x = 28,568,306.80
  5. Step 5: Solve for x
    x = 28,568,306.80/5,523.40
  6. Step 6: Final answer
    x = 5,172.23

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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.