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Finding the Fourth Proportional to 6,264, 8,644.04 and 3,469.44

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Solution

The fourth proportional to 6,264, 8,644.04 and 3,469.44 is: 4,787.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,264 : 8,644.04 = 3,469.44 : x
  2. Step 2: Convert to fraction form
    6,264/8,644.04 = 3,469.44/x
  3. Step 3: Cross multiply
    6,264x = 8,644.04 × 3,469.44
  4. Step 4: Simplify right side
    6,264x = 29,989,978.14
  5. Step 5: Solve for x
    x = 29,989,978.14/6,264
  6. Step 6: Final answer
    x = 4,787.67

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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.