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Finding the Fourth Proportional to 6,105.98, 8,426.03 and 3,453.84

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Solution

The fourth proportional to 6,105.98, 8,426.03 and 3,453.84 is: 4,766.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,105.98 : 8,426.03 = 3,453.84 : x
  2. Step 2: Convert to fraction form
    6,105.98/8,426.03 = 3,453.84/x
  3. Step 3: Cross multiply
    6,105.98x = 8,426.03 × 3,453.84
  4. Step 4: Simplify right side
    6,105.98x = 29,102,142.19
  5. Step 5: Solve for x
    x = 29,102,142.19/6,105.98
  6. Step 6: Final answer
    x = 4,766.17

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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.