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Finding the Fourth Proportional to 3,848.61, 5,773.07 and 2,204.42

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Solution

The fourth proportional to 3,848.61, 5,773.07 and 2,204.42 is: 3,306.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,848.61 : 5,773.07 = 2,204.42 : x
  2. Step 2: Convert to fraction form
    3,848.61/5,773.07 = 2,204.42/x
  3. Step 3: Cross multiply
    3,848.61x = 5,773.07 × 2,204.42
  4. Step 4: Simplify right side
    3,848.61x = 12,726,247.62
  5. Step 5: Solve for x
    x = 12,726,247.62/3,848.61
  6. Step 6: Final answer
    x = 3,306.71

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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.