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Finding the Fourth Proportional to 3,219.08, 4,827.62 and 1,027.22

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Solution

The fourth proportional to 3,219.08, 4,827.62 and 1,027.22 is: 1,540.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,219.08 : 4,827.62 = 1,027.22 : x
  2. Step 2: Convert to fraction form
    3,219.08/4,827.62 = 1,027.22/x
  3. Step 3: Cross multiply
    3,219.08x = 4,827.62 × 1,027.22
  4. Step 4: Simplify right side
    3,219.08x = 4,959,006.25
  5. Step 5: Solve for x
    x = 4,959,006.25/3,219.08
  6. Step 6: Final answer
    x = 1,540.51

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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.