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Finding the Fourth Proportional to 5,186.80, 7,775.52 and 1,897.60

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Solution

The fourth proportional to 5,186.80, 7,775.52 and 1,897.60 is: 2,844.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,186.80 : 7,775.52 = 1,897.60 : x
  2. Step 2: Convert to fraction form
    5,186.80/7,775.52 = 1,897.60/x
  3. Step 3: Cross multiply
    5,186.80x = 7,775.52 × 1,897.60
  4. Step 4: Simplify right side
    5,186.80x = 14,754,826.75
  5. Step 5: Solve for x
    x = 14,754,826.75/5,186.80
  6. Step 6: Final answer
    x = 2,844.69

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