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Finding the Fourth Proportional to 5,834.99, 8,754.23 and 2,716.84

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Solution

The fourth proportional to 5,834.99, 8,754.23 and 2,716.84 is: 4,076.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,834.99 : 8,754.23 = 2,716.84 : x
  2. Step 2: Convert to fraction form
    5,834.99/8,754.23 = 2,716.84/x
  3. Step 3: Cross multiply
    5,834.99x = 8,754.23 × 2,716.84
  4. Step 4: Simplify right side
    5,834.99x = 23,783,842.23
  5. Step 5: Solve for x
    x = 23,783,842.23/5,834.99
  6. Step 6: Final answer
    x = 4,076.07

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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.