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Finding the Fourth Proportional to 3,863.68, 5,790.66 and 2,546.62

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Solution

The fourth proportional to 3,863.68, 5,790.66 and 2,546.62 is: 3,816.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,863.68 : 5,790.66 = 2,546.62 : x
  2. Step 2: Convert to fraction form
    3,863.68/5,790.66 = 2,546.62/x
  3. Step 3: Cross multiply
    3,863.68x = 5,790.66 × 2,546.62
  4. Step 4: Simplify right side
    3,863.68x = 14,746,610.57
  5. Step 5: Solve for x
    x = 14,746,610.57/3,863.68
  6. Step 6: Final answer
    x = 3,816.73

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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.