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Finding the Fourth Proportional to 4,105.62, 5,663.67 and 2,778.84

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Solution

The fourth proportional to 4,105.62, 5,663.67 and 2,778.84 is: 3,833.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,105.62 : 5,663.67 = 2,778.84 : x
  2. Step 2: Convert to fraction form
    4,105.62/5,663.67 = 2,778.84/x
  3. Step 3: Cross multiply
    4,105.62x = 5,663.67 × 2,778.84
  4. Step 4: Simplify right side
    4,105.62x = 15,738,432.74
  5. Step 5: Solve for x
    x = 15,738,432.74/4,105.62
  6. Step 6: Final answer
    x = 3,833.39

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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.