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Finding the Fourth Proportional to 5,830.85, 8,747.98 and 1,882.71

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Solution

The fourth proportional to 5,830.85, 8,747.98 and 1,882.71 is: 2,824.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,830.85 : 8,747.98 = 1,882.71 : x
  2. Step 2: Convert to fraction form
    5,830.85/8,747.98 = 1,882.71/x
  3. Step 3: Cross multiply
    5,830.85x = 8,747.98 × 1,882.71
  4. Step 4: Simplify right side
    5,830.85x = 16,469,904.72
  5. Step 5: Solve for x
    x = 16,469,904.72/5,830.85
  6. Step 6: Final answer
    x = 2,824.61

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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.