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Finding the Fourth Proportional to 3,863.40, 5,328.18 and 3,022.80

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Solution

The fourth proportional to 3,863.40, 5,328.18 and 3,022.80 is: 4,168.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,863.40 : 5,328.18 = 3,022.80 : x
  2. Step 2: Convert to fraction form
    3,863.40/5,328.18 = 3,022.80/x
  3. Step 3: Cross multiply
    3,863.40x = 5,328.18 × 3,022.80
  4. Step 4: Simplify right side
    3,863.40x = 16,106,022.50
  5. Step 5: Solve for x
    x = 16,106,022.50/3,863.40
  6. Step 6: Final answer
    x = 4,168.87

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.