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Finding the Fourth Proportional to 4,546.06, 6,815.91 and 1,770.40

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Solution

The fourth proportional to 4,546.06, 6,815.91 and 1,770.40 is: 2,654.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,546.06 : 6,815.91 = 1,770.40 : x
  2. Step 2: Convert to fraction form
    4,546.06/6,815.91 = 1,770.40/x
  3. Step 3: Cross multiply
    4,546.06x = 6,815.91 × 1,770.40
  4. Step 4: Simplify right side
    4,546.06x = 12,066,887.06
  5. Step 5: Solve for x
    x = 12,066,887.06/4,546.06
  6. Step 6: Final answer
    x = 2,654.36

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