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Finding the Fourth Proportional to 3,893.40, 5,843.07 and 2,856.15

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Solution

The fourth proportional to 3,893.40, 5,843.07 and 2,856.15 is: 4,286.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,893.40 : 5,843.07 = 2,856.15 : x
  2. Step 2: Convert to fraction form
    3,893.40/5,843.07 = 2,856.15/x
  3. Step 3: Cross multiply
    3,893.40x = 5,843.07 × 2,856.15
  4. Step 4: Simplify right side
    3,893.40x = 16,688,684.38
  5. Step 5: Solve for x
    x = 16,688,684.38/3,893.40
  6. Step 6: Final answer
    x = 4,286.40

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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.