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Finding the Fourth Proportional to 5,826.69, 8,040.80 and 3,174.21

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Solution

The fourth proportional to 5,826.69, 8,040.80 and 3,174.21 is: 4,380.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,826.69 : 8,040.80 = 3,174.21 : x
  2. Step 2: Convert to fraction form
    5,826.69/8,040.80 = 3,174.21/x
  3. Step 3: Cross multiply
    5,826.69x = 8,040.80 × 3,174.21
  4. Step 4: Simplify right side
    5,826.69x = 25,523,195.70
  5. Step 5: Solve for x
    x = 25,523,195.70/5,826.69
  6. Step 6: Final answer
    x = 4,380.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.