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Finding the Fourth Proportional to 3,784.61, 5,676.30 and 1,188.15

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Solution

The fourth proportional to 3,784.61, 5,676.30 and 1,188.15 is: 1,782.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,784.61 : 5,676.30 = 1,188.15 : x
  2. Step 2: Convert to fraction form
    3,784.61/5,676.30 = 1,188.15/x
  3. Step 3: Cross multiply
    3,784.61x = 5,676.30 × 1,188.15
  4. Step 4: Simplify right side
    3,784.61x = 6,744,295.85
  5. Step 5: Solve for x
    x = 6,744,295.85/3,784.61
  6. Step 6: Final answer
    x = 1,782.03

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