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Finding the Fourth Proportional to 5,106.57, 7,659.86 and 2,640.12

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Solution

The fourth proportional to 5,106.57, 7,659.86 and 2,640.12 is: 3,960.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,106.57 : 7,659.86 = 2,640.12 : x
  2. Step 2: Convert to fraction form
    5,106.57/7,659.86 = 2,640.12/x
  3. Step 3: Cross multiply
    5,106.57x = 7,659.86 × 2,640.12
  4. Step 4: Simplify right side
    5,106.57x = 20,222,936.38
  5. Step 5: Solve for x
    x = 20,222,936.38/5,106.57
  6. Step 6: Final answer
    x = 3,960.18

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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.