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Finding the Fourth Proportional to 6,094.26, 8,404.20 and 3,856.50

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Solution

The fourth proportional to 6,094.26, 8,404.20 and 3,856.50 is: 5,318.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,094.26 : 8,404.20 = 3,856.50 : x
  2. Step 2: Convert to fraction form
    6,094.26/8,404.20 = 3,856.50/x
  3. Step 3: Cross multiply
    6,094.26x = 8,404.20 × 3,856.50
  4. Step 4: Simplify right side
    6,094.26x = 32,410,797.30
  5. Step 5: Solve for x
    x = 32,410,797.30/6,094.26
  6. Step 6: Final answer
    x = 5,318.25

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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.