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Finding the Fourth Proportional to 4,154.78, 6,233.52 and 2,773.73

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Solution

The fourth proportional to 4,154.78, 6,233.52 and 2,773.73 is: 4,161.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,154.78 : 6,233.52 = 2,773.73 : x
  2. Step 2: Convert to fraction form
    4,154.78/6,233.52 = 2,773.73/x
  3. Step 3: Cross multiply
    4,154.78x = 6,233.52 × 2,773.73
  4. Step 4: Simplify right side
    4,154.78x = 17,290,101.43
  5. Step 5: Solve for x
    x = 17,290,101.43/4,154.78
  6. Step 6: Final answer
    x = 4,161.50

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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.