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Finding the Fourth Proportional to 3,662.65, 5,499.46 and 3,170.57

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Solution

The fourth proportional to 3,662.65, 5,499.46 and 3,170.57 is: 4,760.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,662.65 : 5,499.46 = 3,170.57 : x
  2. Step 2: Convert to fraction form
    3,662.65/5,499.46 = 3,170.57/x
  3. Step 3: Cross multiply
    3,662.65x = 5,499.46 × 3,170.57
  4. Step 4: Simplify right side
    3,662.65x = 17,436,422.89
  5. Step 5: Solve for x
    x = 17,436,422.89/3,662.65
  6. Step 6: Final answer
    x = 4,760.61

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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.