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Finding the Fourth Proportional to 4,505.76, 6,744.48 and 2,864.16

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Solution

The fourth proportional to 4,505.76, 6,744.48 and 2,864.16 is: 4,287.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,505.76 : 6,744.48 = 2,864.16 : x
  2. Step 2: Convert to fraction form
    4,505.76/6,744.48 = 2,864.16/x
  3. Step 3: Cross multiply
    4,505.76x = 6,744.48 × 2,864.16
  4. Step 4: Simplify right side
    4,505.76x = 19,317,269.84
  5. Step 5: Solve for x
    x = 19,317,269.84/4,505.76
  6. Step 6: Final answer
    x = 4,287.24

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