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Finding the Fourth Proportional to 3,785.22, 5,678.75 and 1,188.16

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Solution

The fourth proportional to 3,785.22, 5,678.75 and 1,188.16 is: 1,782.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,785.22 : 5,678.75 = 1,188.16 : x
  2. Step 2: Convert to fraction form
    3,785.22/5,678.75 = 1,188.16/x
  3. Step 3: Cross multiply
    3,785.22x = 5,678.75 × 1,188.16
  4. Step 4: Simplify right side
    3,785.22x = 6,747,263.60
  5. Step 5: Solve for x
    x = 6,747,263.60/3,785.22
  6. Step 6: Final answer
    x = 1,782.53

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