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Finding the Fourth Proportional to 5,477.62, 8,214.80 and 1,780.78

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Solution

The fourth proportional to 5,477.62, 8,214.80 and 1,780.78 is: 2,670.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,477.62 : 8,214.80 = 1,780.78 : x
  2. Step 2: Convert to fraction form
    5,477.62/8,214.80 = 1,780.78/x
  3. Step 3: Cross multiply
    5,477.62x = 8,214.80 × 1,780.78
  4. Step 4: Simplify right side
    5,477.62x = 14,628,751.54
  5. Step 5: Solve for x
    x = 14,628,751.54/5,477.62
  6. Step 6: Final answer
    x = 2,670.64

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