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Finding the Fourth Proportional to 5,782.10, 8,669.84 and 1,778.44

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Solution

The fourth proportional to 5,782.10, 8,669.84 and 1,778.44 is: 2,666.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,782.10 : 8,669.84 = 1,778.44 : x
  2. Step 2: Convert to fraction form
    5,782.10/8,669.84 = 1,778.44/x
  3. Step 3: Cross multiply
    5,782.10x = 8,669.84 × 1,778.44
  4. Step 4: Simplify right side
    5,782.10x = 15,418,790.25
  5. Step 5: Solve for x
    x = 15,418,790.25/5,782.10
  6. Step 6: Final answer
    x = 2,666.64

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