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Finding the Fourth Proportional to 3,733.75, 5,590.80 and 3,405.70

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Solution

The fourth proportional to 3,733.75, 5,590.80 and 3,405.70 is: 5,099.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,733.75 : 5,590.80 = 3,405.70 : x
  2. Step 2: Convert to fraction form
    3,733.75/5,590.80 = 3,405.70/x
  3. Step 3: Cross multiply
    3,733.75x = 5,590.80 × 3,405.70
  4. Step 4: Simplify right side
    3,733.75x = 19,040,553.52
  5. Step 5: Solve for x
    x = 19,040,553.52/3,733.75
  6. Step 6: Final answer
    x = 5,099.59

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