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Finding the Fourth Proportional to 3,863.10, 5,794.65 and 3,838.80

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Solution

The fourth proportional to 3,863.10, 5,794.65 and 3,838.80 is: 5,758.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,863.10 : 5,794.65 = 3,838.80 : x
  2. Step 2: Convert to fraction form
    3,863.10/5,794.65 = 3,838.80/x
  3. Step 3: Cross multiply
    3,863.10x = 5,794.65 × 3,838.80
  4. Step 4: Simplify right side
    3,863.10x = 22,244,502.42
  5. Step 5: Solve for x
    x = 22,244,502.42/3,863.10
  6. Step 6: Final answer
    x = 5,758.20

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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.