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Finding the Fourth Proportional to 5,942, 8,912.94 and 2,431.26

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Solution

The fourth proportional to 5,942, 8,912.94 and 2,431.26 is: 3,646.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,942 : 8,912.94 = 2,431.26 : x
  2. Step 2: Convert to fraction form
    5,942/8,912.94 = 2,431.26/x
  3. Step 3: Cross multiply
    5,942x = 8,912.94 × 2,431.26
  4. Step 4: Simplify right side
    5,942x = 21,669,674.50
  5. Step 5: Solve for x
    x = 21,669,674.50/5,942
  6. Step 6: Final answer
    x = 3,646.87

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.