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Finding the Fourth Proportional to 3,410.62, 5,107.72 and 2,311.65

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Solution

The fourth proportional to 3,410.62, 5,107.72 and 2,311.65 is: 3,461.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,410.62 : 5,107.72 = 2,311.65 : x
  2. Step 2: Convert to fraction form
    3,410.62/5,107.72 = 2,311.65/x
  3. Step 3: Cross multiply
    3,410.62x = 5,107.72 × 2,311.65
  4. Step 4: Simplify right side
    3,410.62x = 11,807,260.94
  5. Step 5: Solve for x
    x = 11,807,260.94/3,410.62
  6. Step 6: Final answer
    x = 3,461.91

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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.