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Finding the Fourth Proportional to 6,194.20, 9,299.54 and 3,599

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Solution

The fourth proportional to 6,194.20, 9,299.54 and 3,599 is: 5,403.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,194.20 : 9,299.54 = 3,599 : x
  2. Step 2: Convert to fraction form
    6,194.20/9,299.54 = 3,599/x
  3. Step 3: Cross multiply
    6,194.20x = 9,299.54 × 3,599
  4. Step 4: Simplify right side
    6,194.20x = 33,469,044.46
  5. Step 5: Solve for x
    x = 33,469,044.46/6,194.20
  6. Step 6: Final answer
    x = 5,403.29

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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.