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Finding the Fourth Proportional to 5,205.05, 7,808.61 and 1,918.16

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Solution

The fourth proportional to 5,205.05, 7,808.61 and 1,918.16 is: 2,877.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,205.05 : 7,808.61 = 1,918.16 : x
  2. Step 2: Convert to fraction form
    5,205.05/7,808.61 = 1,918.16/x
  3. Step 3: Cross multiply
    5,205.05x = 7,808.61 × 1,918.16
  4. Step 4: Simplify right side
    5,205.05x = 14,978,124.31
  5. Step 5: Solve for x
    x = 14,978,124.31/5,205.05
  6. Step 6: Final answer
    x = 2,877.62

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