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Finding the Fourth Proportional to 5,638.70, 8,456.43 and 1,940.78

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Solution

The fourth proportional to 5,638.70, 8,456.43 and 1,940.78 is: 2,910.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,638.70 : 8,456.43 = 1,940.78 : x
  2. Step 2: Convert to fraction form
    5,638.70/8,456.43 = 1,940.78/x
  3. Step 3: Cross multiply
    5,638.70x = 8,456.43 × 1,940.78
  4. Step 4: Simplify right side
    5,638.70x = 16,412,070.22
  5. Step 5: Solve for x
    x = 16,412,070.22/5,638.70
  6. Step 6: Final answer
    x = 2,910.61

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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.