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Finding the Fourth Proportional to 6,188.20, 9,290.54 and 3,593

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Solution

The fourth proportional to 6,188.20, 9,290.54 and 3,593 is: 5,394.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,188.20 : 9,290.54 = 3,593 : x
  2. Step 2: Convert to fraction form
    6,188.20/9,290.54 = 3,593/x
  3. Step 3: Cross multiply
    6,188.20x = 9,290.54 × 3,593
  4. Step 4: Simplify right side
    6,188.20x = 33,380,910.22
  5. Step 5: Solve for x
    x = 33,380,910.22/6,188.20
  6. Step 6: Final answer
    x = 5,394.28

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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.