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Finding the Fourth Proportional to 3,879.50, 5,819.60 and 1,106.11

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Solution

The fourth proportional to 3,879.50, 5,819.60 and 1,106.11 is: 1,659.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,879.50 : 5,819.60 = 1,106.11 : x
  2. Step 2: Convert to fraction form
    3,879.50/5,819.60 = 1,106.11/x
  3. Step 3: Cross multiply
    3,879.50x = 5,819.60 × 1,106.11
  4. Step 4: Simplify right side
    3,879.50x = 6,437,097.68
  5. Step 5: Solve for x
    x = 6,437,097.68/3,879.50
  6. Step 6: Final answer
    x = 1,659.26

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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.