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Finding the Fourth Proportional to 5,215.88, 7,824.58 and 1,928.70

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Solution

The fourth proportional to 5,215.88, 7,824.58 and 1,928.70 is: 2,893.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,215.88 : 7,824.58 = 1,928.70 : x
  2. Step 2: Convert to fraction form
    5,215.88/7,824.58 = 1,928.70/x
  3. Step 3: Cross multiply
    5,215.88x = 7,824.58 × 1,928.70
  4. Step 4: Simplify right side
    5,215.88x = 15,091,267.45
  5. Step 5: Solve for x
    x = 15,091,267.45/5,215.88
  6. Step 6: Final answer
    x = 2,893.33

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