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Finding the Fourth Proportional to 5,635.12, 8,449.44 and 2,858.44

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Solution

The fourth proportional to 5,635.12, 8,449.44 and 2,858.44 is: 4,286.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,635.12 : 8,449.44 = 2,858.44 : x
  2. Step 2: Convert to fraction form
    5,635.12/8,449.44 = 2,858.44/x
  3. Step 3: Cross multiply
    5,635.12x = 8,449.44 × 2,858.44
  4. Step 4: Simplify right side
    5,635.12x = 24,152,217.27
  5. Step 5: Solve for x
    x = 24,152,217.27/5,635.12
  6. Step 6: Final answer
    x = 4,286.02

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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.