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Finding the Fourth Proportional to 5,640.92, 8,466.26 and 2,180.60

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Solution

The fourth proportional to 5,640.92, 8,466.26 and 2,180.60 is: 3,272.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,640.92 : 8,466.26 = 2,180.60 : x
  2. Step 2: Convert to fraction form
    5,640.92/8,466.26 = 2,180.60/x
  3. Step 3: Cross multiply
    5,640.92x = 8,466.26 × 2,180.60
  4. Step 4: Simplify right side
    5,640.92x = 18,461,526.56
  5. Step 5: Solve for x
    x = 18,461,526.56/5,640.92
  6. Step 6: Final answer
    x = 3,272.79

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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.