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Finding the Fourth Proportional to 3,831.32, 5,741.64 and 2,166.80

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Solution

The fourth proportional to 3,831.32, 5,741.64 and 2,166.80 is: 3,247.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,831.32 : 5,741.64 = 2,166.80 : x
  2. Step 2: Convert to fraction form
    3,831.32/5,741.64 = 2,166.80/x
  3. Step 3: Cross multiply
    3,831.32x = 5,741.64 × 2,166.80
  4. Step 4: Simplify right side
    3,831.32x = 12,440,985.55
  5. Step 5: Solve for x
    x = 12,440,985.55/3,831.32
  6. Step 6: Final answer
    x = 3,247.18

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