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Finding the Fourth Proportional to 3,384.38, 4,662.41 and 3,217.62

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Solution

The fourth proportional to 3,384.38, 4,662.41 and 3,217.62 is: 4,432.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,384.38 : 4,662.41 = 3,217.62 : x
  2. Step 2: Convert to fraction form
    3,384.38/4,662.41 = 3,217.62/x
  3. Step 3: Cross multiply
    3,384.38x = 4,662.41 × 3,217.62
  4. Step 4: Simplify right side
    3,384.38x = 15,001,883.16
  5. Step 5: Solve for x
    x = 15,001,883.16/3,384.38
  6. Step 6: Final answer
    x = 4,432.68

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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.