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Finding the Fourth Proportional to 5,367, 8,054.86 and 2,770.68

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Solution

The fourth proportional to 5,367, 8,054.86 and 2,770.68 is: 4,158.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,367 : 8,054.86 = 2,770.68 : x
  2. Step 2: Convert to fraction form
    5,367/8,054.86 = 2,770.68/x
  3. Step 3: Cross multiply
    5,367x = 8,054.86 × 2,770.68
  4. Step 4: Simplify right side
    5,367x = 22,317,439.50
  5. Step 5: Solve for x
    x = 22,317,439.50/5,367
  6. Step 6: Final answer
    x = 4,158.27

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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.