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Finding the Fourth Proportional to 3,454.62, 5,183.16 and 1,699.44

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Solution

The fourth proportional to 3,454.62, 5,183.16 and 1,699.44 is: 2,549.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,454.62 : 5,183.16 = 1,699.44 : x
  2. Step 2: Convert to fraction form
    3,454.62/5,183.16 = 1,699.44/x
  3. Step 3: Cross multiply
    3,454.62x = 5,183.16 × 1,699.44
  4. Step 4: Simplify right side
    3,454.62x = 8,808,469.43
  5. Step 5: Solve for x
    x = 8,808,469.43/3,454.62
  6. Step 6: Final answer
    x = 2,549.77

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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.