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Finding the Fourth Proportional to 5,638.84, 8,456.40 and 1,940.98

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Solution

The fourth proportional to 5,638.84, 8,456.40 and 1,940.98 is: 2,910.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,638.84 : 8,456.40 = 1,940.98 : x
  2. Step 2: Convert to fraction form
    5,638.84/8,456.40 = 1,940.98/x
  3. Step 3: Cross multiply
    5,638.84x = 8,456.40 × 1,940.98
  4. Step 4: Simplify right side
    5,638.84x = 16,413,703.27
  5. Step 5: Solve for x
    x = 16,413,703.27/5,638.84
  6. Step 6: Final answer
    x = 2,910.83

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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.