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Finding the Fourth Proportional to 5,586.50, 8,380.14 and 3,245.82

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Solution

The fourth proportional to 5,586.50, 8,380.14 and 3,245.82 is: 4,868.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,586.50 : 8,380.14 = 3,245.82 : x
  2. Step 2: Convert to fraction form
    5,586.50/8,380.14 = 3,245.82/x
  3. Step 3: Cross multiply
    5,586.50x = 8,380.14 × 3,245.82
  4. Step 4: Simplify right side
    5,586.50x = 27,200,387.94
  5. Step 5: Solve for x
    x = 27,200,387.94/5,586.50
  6. Step 6: Final answer
    x = 4,868.95

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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.