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Finding the Fourth Proportional to 3,863.66, 5,790.60 and 3,343.64

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Solution

The fourth proportional to 3,863.66, 5,790.60 and 3,343.64 is: 5,011.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,863.66 : 5,790.60 = 3,343.64 : x
  2. Step 2: Convert to fraction form
    3,863.66/5,790.60 = 3,343.64/x
  3. Step 3: Cross multiply
    3,863.66x = 5,790.60 × 3,343.64
  4. Step 4: Simplify right side
    3,863.66x = 19,361,652.83
  5. Step 5: Solve for x
    x = 19,361,652.83/3,863.66
  6. Step 6: Final answer
    x = 5,011.23

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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.