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Finding the Fourth Proportional to 3,483.78, 5,227.43 and 1,292.73

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Solution

The fourth proportional to 3,483.78, 5,227.43 and 1,292.73 is: 1,939.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,483.78 : 5,227.43 = 1,292.73 : x
  2. Step 2: Convert to fraction form
    3,483.78/5,227.43 = 1,292.73/x
  3. Step 3: Cross multiply
    3,483.78x = 5,227.43 × 1,292.73
  4. Step 4: Simplify right side
    3,483.78x = 6,757,649.12
  5. Step 5: Solve for x
    x = 6,757,649.12/3,483.78
  6. Step 6: Final answer
    x = 1,939.75

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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.