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Finding the Fourth Proportional to 5,855.31, 8,080.50 and 3,202.88

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Solution

The fourth proportional to 5,855.31, 8,080.50 and 3,202.88 is: 4,420.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,855.31 : 8,080.50 = 3,202.88 : x
  2. Step 2: Convert to fraction form
    5,855.31/8,080.50 = 3,202.88/x
  3. Step 3: Cross multiply
    5,855.31x = 8,080.50 × 3,202.88
  4. Step 4: Simplify right side
    5,855.31x = 25,880,831.44
  5. Step 5: Solve for x
    x = 25,880,831.44/5,855.31
  6. Step 6: Final answer
    x = 4,420.06

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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.