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Finding the Fourth Proportional to 6,356.73, 8,772.38 and 3,838.41

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Solution

The fourth proportional to 6,356.73, 8,772.38 and 3,838.41 is: 5,297.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,356.73 : 8,772.38 = 3,838.41 : x
  2. Step 2: Convert to fraction form
    6,356.73/8,772.38 = 3,838.41/x
  3. Step 3: Cross multiply
    6,356.73x = 8,772.38 × 3,838.41
  4. Step 4: Simplify right side
    6,356.73x = 33,672,000.19
  5. Step 5: Solve for x
    x = 33,672,000.19/6,356.73
  6. Step 6: Final answer
    x = 5,297.06

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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.