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Finding the Fourth Proportional to 6,464.28, 8,918.38 and 4,227.44

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Solution

The fourth proportional to 6,464.28, 8,918.38 and 4,227.44 is: 5,832.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,464.28 : 8,918.38 = 4,227.44 : x
  2. Step 2: Convert to fraction form
    6,464.28/8,918.38 = 4,227.44/x
  3. Step 3: Cross multiply
    6,464.28x = 8,918.38 × 4,227.44
  4. Step 4: Simplify right side
    6,464.28x = 37,701,916.35
  5. Step 5: Solve for x
    x = 37,701,916.35/6,464.28
  6. Step 6: Final answer
    x = 5,832.35

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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.