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Finding the Fourth Proportional to 3,863.94, 5,797.78 and 1,915.72

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Solution

The fourth proportional to 3,863.94, 5,797.78 and 1,915.72 is: 2,874.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,863.94 : 5,797.78 = 1,915.72 : x
  2. Step 2: Convert to fraction form
    3,863.94/5,797.78 = 1,915.72/x
  3. Step 3: Cross multiply
    3,863.94x = 5,797.78 × 1,915.72
  4. Step 4: Simplify right side
    3,863.94x = 11,106,923.10
  5. Step 5: Solve for x
    x = 11,106,923.10/3,863.94
  6. Step 6: Final answer
    x = 2,874.51

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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.