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Finding the Fourth Proportional to 3,863.07, 5,794.23 and 1,522.56

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Solution

The fourth proportional to 3,863.07, 5,794.23 and 1,522.56 is: 2,283.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,863.07 : 5,794.23 = 1,522.56 : x
  2. Step 2: Convert to fraction form
    3,863.07/5,794.23 = 1,522.56/x
  3. Step 3: Cross multiply
    3,863.07x = 5,794.23 × 1,522.56
  4. Step 4: Simplify right side
    3,863.07x = 8,822,062.83
  5. Step 5: Solve for x
    x = 8,822,062.83/3,863.07
  6. Step 6: Final answer
    x = 2,283.69

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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.