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Finding the Fourth Proportional to 4,204.87, 6,312.80 and 2,824.36

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Solution

The fourth proportional to 4,204.87, 6,312.80 and 2,824.36 is: 4,240.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,204.87 : 6,312.80 = 2,824.36 : x
  2. Step 2: Convert to fraction form
    4,204.87/6,312.80 = 2,824.36/x
  3. Step 3: Cross multiply
    4,204.87x = 6,312.80 × 2,824.36
  4. Step 4: Simplify right side
    4,204.87x = 17,829,619.81
  5. Step 5: Solve for x
    x = 17,829,619.81/4,204.87
  6. Step 6: Final answer
    x = 4,240.23

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