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Finding the Fourth Proportional to 3,654.80, 5,482.25 and 1,189.64

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Solution

The fourth proportional to 3,654.80, 5,482.25 and 1,189.64 is: 1,784.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,654.80 : 5,482.25 = 1,189.64 : x
  2. Step 2: Convert to fraction form
    3,654.80/5,482.25 = 1,189.64/x
  3. Step 3: Cross multiply
    3,654.80x = 5,482.25 × 1,189.64
  4. Step 4: Simplify right side
    3,654.80x = 6,521,879.45
  5. Step 5: Solve for x
    x = 6,521,879.45/3,654.80
  6. Step 6: Final answer
    x = 1,784.47

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