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Finding the Fourth Proportional to 3,879.14, 5,819.62 and 1,282.08

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Solution

The fourth proportional to 3,879.14, 5,819.62 and 1,282.08 is: 1,923.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,879.14 : 5,819.62 = 1,282.08 : x
  2. Step 2: Convert to fraction form
    3,879.14/5,819.62 = 1,282.08/x
  3. Step 3: Cross multiply
    3,879.14x = 5,819.62 × 1,282.08
  4. Step 4: Simplify right side
    3,879.14x = 7,461,210.30
  5. Step 5: Solve for x
    x = 7,461,210.30/3,879.14
  6. Step 6: Final answer
    x = 1,923.42

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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.