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Finding the Fourth Proportional to 3,782.35, 5,219.73 and 2,103.83

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Solution

The fourth proportional to 3,782.35, 5,219.73 and 2,103.83 is: 2,903.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,782.35 : 5,219.73 = 2,103.83 : x
  2. Step 2: Convert to fraction form
    3,782.35/5,219.73 = 2,103.83/x
  3. Step 3: Cross multiply
    3,782.35x = 5,219.73 × 2,103.83
  4. Step 4: Simplify right side
    3,782.35x = 10,981,398.47
  5. Step 5: Solve for x
    x = 10,981,398.47/3,782.35
  6. Step 6: Final answer
    x = 2,903.33

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.