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Finding the Fourth Proportional to 3,885.67, 5,831.88 and 2,565.73

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Solution

The fourth proportional to 3,885.67, 5,831.88 and 2,565.73 is: 3,850.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,885.67 : 5,831.88 = 2,565.73 : x
  2. Step 2: Convert to fraction form
    3,885.67/5,831.88 = 2,565.73/x
  3. Step 3: Cross multiply
    3,885.67x = 5,831.88 × 2,565.73
  4. Step 4: Simplify right side
    3,885.67x = 14,963,029.47
  5. Step 5: Solve for x
    x = 14,963,029.47/3,885.67
  6. Step 6: Final answer
    x = 3,850.82

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