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Finding the Fourth Proportional to 3,021.60, 4,532.40 and 2,546.40

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Solution

The fourth proportional to 3,021.60, 4,532.40 and 2,546.40 is: 3,819.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,021.60 : 4,532.40 = 2,546.40 : x
  2. Step 2: Convert to fraction form
    3,021.60/4,532.40 = 2,546.40/x
  3. Step 3: Cross multiply
    3,021.60x = 4,532.40 × 2,546.40
  4. Step 4: Simplify right side
    3,021.60x = 11,541,303.36
  5. Step 5: Solve for x
    x = 11,541,303.36/3,021.60
  6. Step 6: Final answer
    x = 3,819.60

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