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Finding the Fourth Proportional to 5,106.62, 7,660.83 and 2,640.77

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Solution

The fourth proportional to 5,106.62, 7,660.83 and 2,640.77 is: 3,961.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,106.62 : 7,660.83 = 2,640.77 : x
  2. Step 2: Convert to fraction form
    5,106.62/7,660.83 = 2,640.77/x
  3. Step 3: Cross multiply
    5,106.62x = 7,660.83 × 2,640.77
  4. Step 4: Simplify right side
    5,106.62x = 20,230,490.04
  5. Step 5: Solve for x
    x = 20,230,490.04/5,106.62
  6. Step 6: Final answer
    x = 3,961.62

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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.