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Finding the Fourth Proportional to 4,517.43, 6,772.04 and 1,745.94

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Solution

The fourth proportional to 4,517.43, 6,772.04 and 1,745.94 is: 2,617.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,517.43 : 6,772.04 = 1,745.94 : x
  2. Step 2: Convert to fraction form
    4,517.43/6,772.04 = 1,745.94/x
  3. Step 3: Cross multiply
    4,517.43x = 6,772.04 × 1,745.94
  4. Step 4: Simplify right side
    4,517.43x = 11,823,575.52
  5. Step 5: Solve for x
    x = 11,823,575.52/4,517.43
  6. Step 6: Final answer
    x = 2,617.32

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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.