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Finding the Fourth Proportional to 5,946.30, 8,912.97 and 2,479.50

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Solution

The fourth proportional to 5,946.30, 8,912.97 and 2,479.50 is: 3,716.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,946.30 : 8,912.97 = 2,479.50 : x
  2. Step 2: Convert to fraction form
    5,946.30/8,912.97 = 2,479.50/x
  3. Step 3: Cross multiply
    5,946.30x = 8,912.97 × 2,479.50
  4. Step 4: Simplify right side
    5,946.30x = 22,099,709.12
  5. Step 5: Solve for x
    x = 22,099,709.12/5,946.30
  6. Step 6: Final answer
    x = 3,716.55

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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.