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Finding the Fourth Proportional to 6,224.22, 8,589.38 and 3,429.72

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Solution

The fourth proportional to 6,224.22, 8,589.38 and 3,429.72 is: 4,732.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,224.22 : 8,589.38 = 3,429.72 : x
  2. Step 2: Convert to fraction form
    6,224.22/8,589.38 = 3,429.72/x
  3. Step 3: Cross multiply
    6,224.22x = 8,589.38 × 3,429.72
  4. Step 4: Simplify right side
    6,224.22x = 29,459,168.37
  5. Step 5: Solve for x
    x = 29,459,168.37/6,224.22
  6. Step 6: Final answer
    x = 4,732.99

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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.