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Finding the Fourth Proportional to 3,632.87, 5,013.60 and 2,039.64

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Solution

The fourth proportional to 3,632.87, 5,013.60 and 2,039.64 is: 2,814.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,632.87 : 5,013.60 = 2,039.64 : x
  2. Step 2: Convert to fraction form
    3,632.87/5,013.60 = 2,039.64/x
  3. Step 3: Cross multiply
    3,632.87x = 5,013.60 × 2,039.64
  4. Step 4: Simplify right side
    3,632.87x = 10,225,912.65
  5. Step 5: Solve for x
    x = 10,225,912.65/3,632.87
  6. Step 6: Final answer
    x = 2,814.83

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.