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Finding the Fourth Proportional to 4,097.60, 6,148.40 and 1,905.20

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Solution

The fourth proportional to 4,097.60, 6,148.40 and 1,905.20 is: 2,858.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,097.60 : 6,148.40 = 1,905.20 : x
  2. Step 2: Convert to fraction form
    4,097.60/6,148.40 = 1,905.20/x
  3. Step 3: Cross multiply
    4,097.60x = 6,148.40 × 1,905.20
  4. Step 4: Simplify right side
    4,097.60x = 11,713,931.68
  5. Step 5: Solve for x
    x = 11,713,931.68/4,097.60
  6. Step 6: Final answer
    x = 2,858.73

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