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Finding the Fourth Proportional to 3,830.22, 5,739.93 and 3,046.75

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Solution

The fourth proportional to 3,830.22, 5,739.93 and 3,046.75 is: 4,565.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,830.22 : 5,739.93 = 3,046.75 : x
  2. Step 2: Convert to fraction form
    3,830.22/5,739.93 = 3,046.75/x
  3. Step 3: Cross multiply
    3,830.22x = 5,739.93 × 3,046.75
  4. Step 4: Simplify right side
    3,830.22x = 17,488,117.38
  5. Step 5: Solve for x
    x = 17,488,117.38/3,830.22
  6. Step 6: Final answer
    x = 4,565.83

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