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Finding the Fourth Proportional to 5,811.50, 8,711.94 and 2,112.14

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Solution

The fourth proportional to 5,811.50, 8,711.94 and 2,112.14 is: 3,166.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,811.50 : 8,711.94 = 2,112.14 : x
  2. Step 2: Convert to fraction form
    5,811.50/8,711.94 = 2,112.14/x
  3. Step 3: Cross multiply
    5,811.50x = 8,711.94 × 2,112.14
  4. Step 4: Simplify right side
    5,811.50x = 18,400,836.95
  5. Step 5: Solve for x
    x = 18,400,836.95/5,811.50
  6. Step 6: Final answer
    x = 3,166.28

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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.