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Finding the Fourth Proportional to 3,449.25, 5,174.90 and 1,989.45

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Solution

The fourth proportional to 3,449.25, 5,174.90 and 1,989.45 is: 2,984.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,449.25 : 5,174.90 = 1,989.45 : x
  2. Step 2: Convert to fraction form
    3,449.25/5,174.90 = 1,989.45/x
  3. Step 3: Cross multiply
    3,449.25x = 5,174.90 × 1,989.45
  4. Step 4: Simplify right side
    3,449.25x = 10,295,194.86
  5. Step 5: Solve for x
    x = 10,295,194.86/3,449.25
  6. Step 6: Final answer
    x = 2,984.76

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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.