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Finding the Fourth Proportional to 6,226.88, 8,593.09 and 3,432.38

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Solution

The fourth proportional to 6,226.88, 8,593.09 and 3,432.38 is: 4,736.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,226.88 : 8,593.09 = 3,432.38 : x
  2. Step 2: Convert to fraction form
    6,226.88/8,593.09 = 3,432.38/x
  3. Step 3: Cross multiply
    6,226.88x = 8,593.09 × 3,432.38
  4. Step 4: Simplify right side
    6,226.88x = 29,494,698.71
  5. Step 5: Solve for x
    x = 29,494,698.71/6,226.88
  6. Step 6: Final answer
    x = 4,736.68

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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.