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Finding the Fourth Proportional to 4,022, 6,033.04 and 1,286

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Solution

The fourth proportional to 4,022, 6,033.04 and 1,286 is: 1,929.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,022 : 6,033.04 = 1,286 : x
  2. Step 2: Convert to fraction form
    4,022/6,033.04 = 1,286/x
  3. Step 3: Cross multiply
    4,022x = 6,033.04 × 1,286
  4. Step 4: Simplify right side
    4,022x = 7,758,489.44
  5. Step 5: Solve for x
    x = 7,758,489.44/4,022
  6. Step 6: Final answer
    x = 1,929.01

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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.