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Finding the Fourth Proportional to 3,486.26, 5,222.78 and 1,923.92

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Solution

The fourth proportional to 3,486.26, 5,222.78 and 1,923.92 is: 2,882.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,486.26 : 5,222.78 = 1,923.92 : x
  2. Step 2: Convert to fraction form
    3,486.26/5,222.78 = 1,923.92/x
  3. Step 3: Cross multiply
    3,486.26x = 5,222.78 × 1,923.92
  4. Step 4: Simplify right side
    3,486.26x = 10,048,175.16
  5. Step 5: Solve for x
    x = 10,048,175.16/3,486.26
  6. Step 6: Final answer
    x = 2,882.23

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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.