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Finding the Fourth Proportional to 4,546.56, 6,821.92 and 1,775.28

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Solution

The fourth proportional to 4,546.56, 6,821.92 and 1,775.28 is: 2,663.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,546.56 : 6,821.92 = 1,775.28 : x
  2. Step 2: Convert to fraction form
    4,546.56/6,821.92 = 1,775.28/x
  3. Step 3: Cross multiply
    4,546.56x = 6,821.92 × 1,775.28
  4. Step 4: Simplify right side
    4,546.56x = 12,110,818.14
  5. Step 5: Solve for x
    x = 12,110,818.14/4,546.56
  6. Step 6: Final answer
    x = 2,663.73

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