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Finding the Fourth Proportional to 3,906.69, 5,383.44 and 2,785.65

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Solution

The fourth proportional to 3,906.69, 5,383.44 and 2,785.65 is: 3,838.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,906.69 : 5,383.44 = 2,785.65 : x
  2. Step 2: Convert to fraction form
    3,906.69/5,383.44 = 2,785.65/x
  3. Step 3: Cross multiply
    3,906.69x = 5,383.44 × 2,785.65
  4. Step 4: Simplify right side
    3,906.69x = 14,996,379.64
  5. Step 5: Solve for x
    x = 14,996,379.64/3,906.69
  6. Step 6: Final answer
    x = 3,838.64

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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.