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Finding the Fourth Proportional to 3,785.11, 5,678.62 and 3,722.33

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Solution

The fourth proportional to 3,785.11, 5,678.62 and 3,722.33 is: 5,584.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,785.11 : 5,678.62 = 3,722.33 : x
  2. Step 2: Convert to fraction form
    3,785.11/5,678.62 = 3,722.33/x
  3. Step 3: Cross multiply
    3,785.11x = 5,678.62 × 3,722.33
  4. Step 4: Simplify right side
    3,785.11x = 21,137,664.78
  5. Step 5: Solve for x
    x = 21,137,664.78/3,785.11
  6. Step 6: Final answer
    x = 5,584.42

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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.