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Finding the Fourth Proportional to 6,105.50, 8,425.60 and 3,311

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Solution

The fourth proportional to 6,105.50, 8,425.60 and 3,311 is: 4,569.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,105.50 : 8,425.60 = 3,311 : x
  2. Step 2: Convert to fraction form
    6,105.50/8,425.60 = 3,311/x
  3. Step 3: Cross multiply
    6,105.50x = 8,425.60 × 3,311
  4. Step 4: Simplify right side
    6,105.50x = 27,897,145.05
  5. Step 5: Solve for x
    x = 27,897,145.05/6,105.50
  6. Step 6: Final answer
    x = 4,569.18

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.