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Finding the Fourth Proportional to 4,704.80, 7,057.46 and 1,584.54

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Solution

The fourth proportional to 4,704.80, 7,057.46 and 1,584.54 is: 2,376.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,704.80 : 7,057.46 = 1,584.54 : x
  2. Step 2: Convert to fraction form
    4,704.80/7,057.46 = 1,584.54/x
  3. Step 3: Cross multiply
    4,704.80x = 7,057.46 × 1,584.54
  4. Step 4: Simplify right side
    4,704.80x = 11,182,831.63
  5. Step 5: Solve for x
    x = 11,182,831.63/4,704.80
  6. Step 6: Final answer
    x = 2,376.90

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