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Finding the Fourth Proportional to 5,469.71, 8,191.50 and 2,830.12

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Solution

The fourth proportional to 5,469.71, 8,191.50 and 2,830.12 is: 4,238.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,469.71 : 8,191.50 = 2,830.12 : x
  2. Step 2: Convert to fraction form
    5,469.71/8,191.50 = 2,830.12/x
  3. Step 3: Cross multiply
    5,469.71x = 8,191.50 × 2,830.12
  4. Step 4: Simplify right side
    5,469.71x = 23,182,896.89
  5. Step 5: Solve for x
    x = 23,182,896.89/5,469.71
  6. Step 6: Final answer
    x = 4,238.42

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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.