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Finding the Fourth Proportional to 4,565.60, 6,837.60 and 3,096.80

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Solution

The fourth proportional to 4,565.60, 6,837.60 and 3,096.80 is: 4,637.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,565.60 : 6,837.60 = 3,096.80 : x
  2. Step 2: Convert to fraction form
    4,565.60/6,837.60 = 3,096.80/x
  3. Step 3: Cross multiply
    4,565.60x = 6,837.60 × 3,096.80
  4. Step 4: Simplify right side
    4,565.60x = 21,174,679.68
  5. Step 5: Solve for x
    x = 21,174,679.68/4,565.60
  6. Step 6: Final answer
    x = 4,637.87

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