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Finding the Fourth Proportional to 3,878.72, 5,353.74 and 2,286.30

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Solution

The fourth proportional to 3,878.72, 5,353.74 and 2,286.30 is: 3,155.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,878.72 : 5,353.74 = 2,286.30 : x
  2. Step 2: Convert to fraction form
    3,878.72/5,353.74 = 2,286.30/x
  3. Step 3: Cross multiply
    3,878.72x = 5,353.74 × 2,286.30
  4. Step 4: Simplify right side
    3,878.72x = 12,240,217.56
  5. Step 5: Solve for x
    x = 12,240,217.56/3,878.72
  6. Step 6: Final answer
    x = 3,155.74

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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.