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Finding the Fourth Proportional to 3,827.76, 5,738.85 and 1,881.33

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Solution

The fourth proportional to 3,827.76, 5,738.85 and 1,881.33 is: 2,820.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,827.76 : 5,738.85 = 1,881.33 : x
  2. Step 2: Convert to fraction form
    3,827.76/5,738.85 = 1,881.33/x
  3. Step 3: Cross multiply
    3,827.76x = 5,738.85 × 1,881.33
  4. Step 4: Simplify right side
    3,827.76x = 10,796,670.67
  5. Step 5: Solve for x
    x = 10,796,670.67/3,827.76
  6. Step 6: Final answer
    x = 2,820.62

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