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Finding the Fourth Proportional to 3,838.91, 5,760.19 and 1,989.68

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Solution

The fourth proportional to 3,838.91, 5,760.19 and 1,989.68 is: 2,985.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,838.91 : 5,760.19 = 1,989.68 : x
  2. Step 2: Convert to fraction form
    3,838.91/5,760.19 = 1,989.68/x
  3. Step 3: Cross multiply
    3,838.91x = 5,760.19 × 1,989.68
  4. Step 4: Simplify right side
    3,838.91x = 11,460,934.84
  5. Step 5: Solve for x
    x = 11,460,934.84/3,838.91
  6. Step 6: Final answer
    x = 2,985.47

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