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Finding the Fourth Proportional to 4,069.59, 6,102.23 and 1,989.96

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Solution

The fourth proportional to 4,069.59, 6,102.23 and 1,989.96 is: 2,983.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,069.59 : 6,102.23 = 1,989.96 : x
  2. Step 2: Convert to fraction form
    4,069.59/6,102.23 = 1,989.96/x
  3. Step 3: Cross multiply
    4,069.59x = 6,102.23 × 1,989.96
  4. Step 4: Simplify right side
    4,069.59x = 12,143,183.66
  5. Step 5: Solve for x
    x = 12,143,183.66/4,069.59
  6. Step 6: Final answer
    x = 2,983.88

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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.