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Finding the Fourth Proportional to 6,213.90, 8,576.38 and 3,563.08

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Solution

The fourth proportional to 6,213.90, 8,576.38 and 3,563.08 is: 4,917.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,213.90 : 8,576.38 = 3,563.08 : x
  2. Step 2: Convert to fraction form
    6,213.90/8,576.38 = 3,563.08/x
  3. Step 3: Cross multiply
    6,213.90x = 8,576.38 × 3,563.08
  4. Step 4: Simplify right side
    6,213.90x = 30,558,328.05
  5. Step 5: Solve for x
    x = 30,558,328.05/6,213.90
  6. Step 6: Final answer
    x = 4,917.74

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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.