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Finding the Fourth Proportional to 3,208.42, 4,809.03 and 2,099.96

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Solution

The fourth proportional to 3,208.42, 4,809.03 and 2,099.96 is: 3,147.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,208.42 : 4,809.03 = 2,099.96 : x
  2. Step 2: Convert to fraction form
    3,208.42/4,809.03 = 2,099.96/x
  3. Step 3: Cross multiply
    3,208.42x = 4,809.03 × 2,099.96
  4. Step 4: Simplify right side
    3,208.42x = 10,098,770.64
  5. Step 5: Solve for x
    x = 10,098,770.64/3,208.42
  6. Step 6: Final answer
    x = 3,147.58

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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.