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Finding the Fourth Proportional to 5,855.46, 8,080.26 and 3,202.88

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Solution

The fourth proportional to 5,855.46, 8,080.26 and 3,202.88 is: 4,419.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,855.46 : 8,080.26 = 3,202.88 : x
  2. Step 2: Convert to fraction form
    5,855.46/8,080.26 = 3,202.88/x
  3. Step 3: Cross multiply
    5,855.46x = 8,080.26 × 3,202.88
  4. Step 4: Simplify right side
    5,855.46x = 25,880,103.15
  5. Step 5: Solve for x
    x = 25,880,103.15/5,855.46
  6. Step 6: Final answer
    x = 4,419.82

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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.