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Finding the Fourth Proportional to 5,231.36, 7,847.04 and 1,944.38

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Solution

The fourth proportional to 5,231.36, 7,847.04 and 1,944.38 is: 2,916.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,231.36 : 7,847.04 = 1,944.38 : x
  2. Step 2: Convert to fraction form
    5,231.36/7,847.04 = 1,944.38/x
  3. Step 3: Cross multiply
    5,231.36x = 7,847.04 × 1,944.38
  4. Step 4: Simplify right side
    5,231.36x = 15,257,627.64
  5. Step 5: Solve for x
    x = 15,257,627.64/5,231.36
  6. Step 6: Final answer
    x = 2,916.57

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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.