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Finding the Fourth Proportional to 6,288, 8,674.24 and 3,633.80

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Solution

The fourth proportional to 6,288, 8,674.24 and 3,633.80 is: 5,012.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,288 : 8,674.24 = 3,633.80 : x
  2. Step 2: Convert to fraction form
    6,288/8,674.24 = 3,633.80/x
  3. Step 3: Cross multiply
    6,288x = 8,674.24 × 3,633.80
  4. Step 4: Simplify right side
    6,288x = 31,520,453.31
  5. Step 5: Solve for x
    x = 31,520,453.31/6,288
  6. Step 6: Final answer
    x = 5,012.79

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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.