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Finding the Fourth Proportional to 5,213.64, 7,819.38 and 1,924.49

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Solution

The fourth proportional to 5,213.64, 7,819.38 and 1,924.49 is: 2,886.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,213.64 : 7,819.38 = 1,924.49 : x
  2. Step 2: Convert to fraction form
    5,213.64/7,819.38 = 1,924.49/x
  3. Step 3: Cross multiply
    5,213.64x = 7,819.38 × 1,924.49
  4. Step 4: Simplify right side
    5,213.64x = 15,048,279.52
  5. Step 5: Solve for x
    x = 15,048,279.52/5,213.64
  6. Step 6: Final answer
    x = 2,886.33

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