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Finding the Fourth Proportional to 3,879.40, 5,819.96 and 1,282.16

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Solution

The fourth proportional to 3,879.40, 5,819.96 and 1,282.16 is: 1,923.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,879.40 : 5,819.96 = 1,282.16 : x
  2. Step 2: Convert to fraction form
    3,879.40/5,819.96 = 1,282.16/x
  3. Step 3: Cross multiply
    3,879.40x = 5,819.96 × 1,282.16
  4. Step 4: Simplify right side
    3,879.40x = 7,462,119.91
  5. Step 5: Solve for x
    x = 7,462,119.91/3,879.40
  6. Step 6: Final answer
    x = 1,923.52

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.