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Finding the Fourth Proportional to 6,105.54, 8,420.85 and 4,217.85

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Solution

The fourth proportional to 6,105.54, 8,420.85 and 4,217.85 is: 5,817.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,105.54 : 8,420.85 = 4,217.85 : x
  2. Step 2: Convert to fraction form
    6,105.54/8,420.85 = 4,217.85/x
  3. Step 3: Cross multiply
    6,105.54x = 8,420.85 × 4,217.85
  4. Step 4: Simplify right side
    6,105.54x = 35,517,882.17
  5. Step 5: Solve for x
    x = 35,517,882.17/6,105.54
  6. Step 6: Final answer
    x = 5,817.32

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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.