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Finding the Fourth Proportional to 3,788.86, 5,684.10 and 1,192

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Solution

The fourth proportional to 3,788.86, 5,684.10 and 1,192 is: 1,788.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,788.86 : 5,684.10 = 1,192 : x
  2. Step 2: Convert to fraction form
    3,788.86/5,684.10 = 1,192/x
  3. Step 3: Cross multiply
    3,788.86x = 5,684.10 × 1,192
  4. Step 4: Simplify right side
    3,788.86x = 6,775,447.20
  5. Step 5: Solve for x
    x = 6,775,447.20/3,788.86
  6. Step 6: Final answer
    x = 1,788.25

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