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Finding the Fourth Proportional to 4,462.65, 6,694.72 and 1,540.17

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Solution

The fourth proportional to 4,462.65, 6,694.72 and 1,540.17 is: 2,310.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,462.65 : 6,694.72 = 1,540.17 : x
  2. Step 2: Convert to fraction form
    4,462.65/6,694.72 = 1,540.17/x
  3. Step 3: Cross multiply
    4,462.65x = 6,694.72 × 1,540.17
  4. Step 4: Simplify right side
    4,462.65x = 10,311,003.05
  5. Step 5: Solve for x
    x = 10,311,003.05/4,462.65
  6. Step 6: Final answer
    x = 2,310.51

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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.