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Finding the Fourth Proportional to 5,889.78, 8,834.67 and 2,767.84

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Solution

The fourth proportional to 5,889.78, 8,834.67 and 2,767.84 is: 4,151.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,889.78 : 8,834.67 = 2,767.84 : x
  2. Step 2: Convert to fraction form
    5,889.78/8,834.67 = 2,767.84/x
  3. Step 3: Cross multiply
    5,889.78x = 8,834.67 × 2,767.84
  4. Step 4: Simplify right side
    5,889.78x = 24,452,930.93
  5. Step 5: Solve for x
    x = 24,452,930.93/5,889.78
  6. Step 6: Final answer
    x = 4,151.76

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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.