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Finding the Fourth Proportional to 3,766.27, 5,198.06 and 3,600.17

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Solution

The fourth proportional to 3,766.27, 5,198.06 and 3,600.17 is: 4,968.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,766.27 : 5,198.06 = 3,600.17 : x
  2. Step 2: Convert to fraction form
    3,766.27/5,198.06 = 3,600.17/x
  3. Step 3: Cross multiply
    3,766.27x = 5,198.06 × 3,600.17
  4. Step 4: Simplify right side
    3,766.27x = 18,713,899.67
  5. Step 5: Solve for x
    x = 18,713,899.67/3,766.27
  6. Step 6: Final answer
    x = 4,968.82

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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.