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Finding the Fourth Proportional to 8,644.56, 12,972.09 and 3,450

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Solution

The fourth proportional to 8,644.56, 12,972.09 and 3,450 is: 5,177.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,644.56 : 12,972.09 = 3,450 : x
  2. Step 2: Convert to fraction form
    8,644.56/12,972.09 = 3,450/x
  3. Step 3: Cross multiply
    8,644.56x = 12,972.09 × 3,450
  4. Step 4: Simplify right side
    8,644.56x = 44,753,710.50
  5. Step 5: Solve for x
    x = 44,753,710.50/8,644.56
  6. Step 6: Final answer
    x = 5,177.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.