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Finding the Fourth Proportional to 3,400.68, 5,096.41 and 3,059.30

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Solution

The fourth proportional to 3,400.68, 5,096.41 and 3,059.30 is: 4,584.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,400.68 : 5,096.41 = 3,059.30 : x
  2. Step 2: Convert to fraction form
    3,400.68/5,096.41 = 3,059.30/x
  3. Step 3: Cross multiply
    3,400.68x = 5,096.41 × 3,059.30
  4. Step 4: Simplify right side
    3,400.68x = 15,591,452.21
  5. Step 5: Solve for x
    x = 15,591,452.21/3,400.68
  6. Step 6: Final answer
    x = 4,584.80

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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.