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Finding the Fourth Proportional to 3,612.64, 5,420.76 and 1,664.56

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Solution

The fourth proportional to 3,612.64, 5,420.76 and 1,664.56 is: 2,497.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,612.64 : 5,420.76 = 1,664.56 : x
  2. Step 2: Convert to fraction form
    3,612.64/5,420.76 = 1,664.56/x
  3. Step 3: Cross multiply
    3,612.64x = 5,420.76 × 1,664.56
  4. Step 4: Simplify right side
    3,612.64x = 9,023,180.27
  5. Step 5: Solve for x
    x = 9,023,180.27/3,612.64
  6. Step 6: Final answer
    x = 2,497.67

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