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Finding the Fourth Proportional to 6,328, 8,732.64 and 3,533.52

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Solution

The fourth proportional to 6,328, 8,732.64 and 3,533.52 is: 4,876.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,328 : 8,732.64 = 3,533.52 : x
  2. Step 2: Convert to fraction form
    6,328/8,732.64 = 3,533.52/x
  3. Step 3: Cross multiply
    6,328x = 8,732.64 × 3,533.52
  4. Step 4: Simplify right side
    6,328x = 30,856,958.09
  5. Step 5: Solve for x
    x = 30,856,958.09/6,328
  6. Step 6: Final answer
    x = 4,876.26

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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.