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Finding the Fourth Proportional to 5,638.12, 8,456.78 and 1,940.20

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Solution

The fourth proportional to 5,638.12, 8,456.78 and 1,940.20 is: 2,910.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,638.12 : 8,456.78 = 1,940.20 : x
  2. Step 2: Convert to fraction form
    5,638.12/8,456.78 = 1,940.20/x
  3. Step 3: Cross multiply
    5,638.12x = 8,456.78 × 1,940.20
  4. Step 4: Simplify right side
    5,638.12x = 16,407,844.56
  5. Step 5: Solve for x
    x = 16,407,844.56/5,638.12
  6. Step 6: Final answer
    x = 2,910.16

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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.