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Finding the Fourth Proportional to 6,296.52, 8,689.38 and 3,644.76

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Solution

The fourth proportional to 6,296.52, 8,689.38 and 3,644.76 is: 5,029.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,296.52 : 8,689.38 = 3,644.76 : x
  2. Step 2: Convert to fraction form
    6,296.52/8,689.38 = 3,644.76/x
  3. Step 3: Cross multiply
    6,296.52x = 8,689.38 × 3,644.76
  4. Step 4: Simplify right side
    6,296.52x = 31,670,704.65
  5. Step 5: Solve for x
    x = 31,670,704.65/6,296.52
  6. Step 6: Final answer
    x = 5,029.87

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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.