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Finding the Fourth Proportional to 3,189.96, 4,784.80 and 1,315.80

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Solution

The fourth proportional to 3,189.96, 4,784.80 and 1,315.80 is: 1,973.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,189.96 : 4,784.80 = 1,315.80 : x
  2. Step 2: Convert to fraction form
    3,189.96/4,784.80 = 1,315.80/x
  3. Step 3: Cross multiply
    3,189.96x = 4,784.80 × 1,315.80
  4. Step 4: Simplify right side
    3,189.96x = 6,295,839.84
  5. Step 5: Solve for x
    x = 6,295,839.84/3,189.96
  6. Step 6: Final answer
    x = 1,973.64

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