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Finding the Fourth Proportional to 5,951.04, 8,212.24 and 3,711.76

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Solution

The fourth proportional to 5,951.04, 8,212.24 and 3,711.76 is: 5,122.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,951.04 : 8,212.24 = 3,711.76 : x
  2. Step 2: Convert to fraction form
    5,951.04/8,212.24 = 3,711.76/x
  3. Step 3: Cross multiply
    5,951.04x = 8,212.24 × 3,711.76
  4. Step 4: Simplify right side
    5,951.04x = 30,481,863.94
  5. Step 5: Solve for x
    x = 30,481,863.94/5,951.04
  6. Step 6: Final answer
    x = 5,122.11

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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.