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Finding the Fourth Proportional to 3,861.60, 5,329.88 and 2,183.98

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Solution

The fourth proportional to 3,861.60, 5,329.88 and 2,183.98 is: 3,014.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,861.60 : 5,329.88 = 2,183.98 : x
  2. Step 2: Convert to fraction form
    3,861.60/5,329.88 = 2,183.98/x
  3. Step 3: Cross multiply
    3,861.60x = 5,329.88 × 2,183.98
  4. Step 4: Simplify right side
    3,861.60x = 11,640,351.32
  5. Step 5: Solve for x
    x = 11,640,351.32/3,861.60
  6. Step 6: Final answer
    x = 3,014.39

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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.