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Finding the Fourth Proportional to 3,454.89, 5,169.57 and 2,069.20

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Solution

The fourth proportional to 3,454.89, 5,169.57 and 2,069.20 is: 3,096.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,454.89 : 5,169.57 = 2,069.20 : x
  2. Step 2: Convert to fraction form
    3,454.89/5,169.57 = 2,069.20/x
  3. Step 3: Cross multiply
    3,454.89x = 5,169.57 × 2,069.20
  4. Step 4: Simplify right side
    3,454.89x = 10,696,874.24
  5. Step 5: Solve for x
    x = 10,696,874.24/3,454.89
  6. Step 6: Final answer
    x = 3,096.15

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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.