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Finding the Fourth Proportional to 4,474.34, 6,705.84 and 2,527.64

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Solution

The fourth proportional to 4,474.34, 6,705.84 and 2,527.64 is: 3,788.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,474.34 : 6,705.84 = 2,527.64 : x
  2. Step 2: Convert to fraction form
    4,474.34/6,705.84 = 2,527.64/x
  3. Step 3: Cross multiply
    4,474.34x = 6,705.84 × 2,527.64
  4. Step 4: Simplify right side
    4,474.34x = 16,949,949.42
  5. Step 5: Solve for x
    x = 16,949,949.42/4,474.34
  6. Step 6: Final answer
    x = 3,788.26

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