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Finding the Fourth Proportional to 3,612.18, 5,416.92 and 1,664.40

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Solution

The fourth proportional to 3,612.18, 5,416.92 and 1,664.40 is: 2,495.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,612.18 : 5,416.92 = 1,664.40 : x
  2. Step 2: Convert to fraction form
    3,612.18/5,416.92 = 1,664.40/x
  3. Step 3: Cross multiply
    3,612.18x = 5,416.92 × 1,664.40
  4. Step 4: Simplify right side
    3,612.18x = 9,015,921.65
  5. Step 5: Solve for x
    x = 9,015,921.65/3,612.18
  6. Step 6: Final answer
    x = 2,495.98

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