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Finding the Fourth Proportional to 3,863.95, 5,793.44 and 2,546.17

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Solution

The fourth proportional to 3,863.95, 5,793.44 and 2,546.17 is: 3,817.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,863.95 : 5,793.44 = 2,546.17 : x
  2. Step 2: Convert to fraction form
    3,863.95/5,793.44 = 2,546.17/x
  3. Step 3: Cross multiply
    3,863.95x = 5,793.44 × 2,546.17
  4. Step 4: Simplify right side
    3,863.95x = 14,751,054.16
  5. Step 5: Solve for x
    x = 14,751,054.16/3,863.95
  6. Step 6: Final answer
    x = 3,817.61

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.