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Finding the Fourth Proportional to 6,221.87, 8,586.17 and 3,427.37

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Solution

The fourth proportional to 6,221.87, 8,586.17 and 3,427.37 is: 4,729.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,221.87 : 8,586.17 = 3,427.37 : x
  2. Step 2: Convert to fraction form
    6,221.87/8,586.17 = 3,427.37/x
  3. Step 3: Cross multiply
    6,221.87x = 8,586.17 × 3,427.37
  4. Step 4: Simplify right side
    6,221.87x = 29,427,947.11
  5. Step 5: Solve for x
    x = 29,427,947.11/6,221.87
  6. Step 6: Final answer
    x = 4,729.76

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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.