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Finding the Fourth Proportional to 3,784.31, 5,676.42 and 1,319.12

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Solution

The fourth proportional to 3,784.31, 5,676.42 and 1,319.12 is: 1,978.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,784.31 : 5,676.42 = 1,319.12 : x
  2. Step 2: Convert to fraction form
    3,784.31/5,676.42 = 1,319.12/x
  3. Step 3: Cross multiply
    3,784.31x = 5,676.42 × 1,319.12
  4. Step 4: Simplify right side
    3,784.31x = 7,487,871.19
  5. Step 5: Solve for x
    x = 7,487,871.19/3,784.31
  6. Step 6: Final answer
    x = 1,978.66

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