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Finding the Fourth Proportional to 5,638.26, 8,459.20 and 1,940.40

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Solution

The fourth proportional to 5,638.26, 8,459.20 and 1,940.40 is: 2,911.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,638.26 : 8,459.20 = 1,940.40 : x
  2. Step 2: Convert to fraction form
    5,638.26/8,459.20 = 1,940.40/x
  3. Step 3: Cross multiply
    5,638.26x = 8,459.20 × 1,940.40
  4. Step 4: Simplify right side
    5,638.26x = 16,414,231.68
  5. Step 5: Solve for x
    x = 16,414,231.68/5,638.26
  6. Step 6: Final answer
    x = 2,911.22

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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.