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Finding the Fourth Proportional to 4,562.70, 6,844.05 and 3,783.60

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Solution

The fourth proportional to 4,562.70, 6,844.05 and 3,783.60 is: 5,675.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,562.70 : 6,844.05 = 3,783.60 : x
  2. Step 2: Convert to fraction form
    4,562.70/6,844.05 = 3,783.60/x
  3. Step 3: Cross multiply
    4,562.70x = 6,844.05 × 3,783.60
  4. Step 4: Simplify right side
    4,562.70x = 25,895,147.58
  5. Step 5: Solve for x
    x = 25,895,147.58/4,562.70
  6. Step 6: Final answer
    x = 5,675.40

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