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Finding the Fourth Proportional to 5,512.94, 8,269.49 and 1,617.43

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Solution

The fourth proportional to 5,512.94, 8,269.49 and 1,617.43 is: 2,426.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,512.94 : 8,269.49 = 1,617.43 : x
  2. Step 2: Convert to fraction form
    5,512.94/8,269.49 = 1,617.43/x
  3. Step 3: Cross multiply
    5,512.94x = 8,269.49 × 1,617.43
  4. Step 4: Simplify right side
    5,512.94x = 13,375,321.21
  5. Step 5: Solve for x
    x = 13,375,321.21/5,512.94
  6. Step 6: Final answer
    x = 2,426.17

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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.