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Finding the Fourth Proportional to 3,864.87, 5,794.34 and 1,915.56

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Solution

The fourth proportional to 3,864.87, 5,794.34 and 1,915.56 is: 2,871.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,864.87 : 5,794.34 = 1,915.56 : x
  2. Step 2: Convert to fraction form
    3,864.87/5,794.34 = 1,915.56/x
  3. Step 3: Cross multiply
    3,864.87x = 5,794.34 × 1,915.56
  4. Step 4: Simplify right side
    3,864.87x = 11,099,396.35
  5. Step 5: Solve for x
    x = 11,099,396.35/3,864.87
  6. Step 6: Final answer
    x = 2,871.87

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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.