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Finding the Fourth Proportional to 4,954.48, 6,821.64 and 4,206.96

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Solution

The fourth proportional to 4,954.48, 6,821.64 and 4,206.96 is: 5,792.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,954.48 : 6,821.64 = 4,206.96 : x
  2. Step 2: Convert to fraction form
    4,954.48/6,821.64 = 4,206.96/x
  3. Step 3: Cross multiply
    4,954.48x = 6,821.64 × 4,206.96
  4. Step 4: Simplify right side
    4,954.48x = 28,698,366.61
  5. Step 5: Solve for x
    x = 28,698,366.61/4,954.48
  6. Step 6: Final answer
    x = 5,792.41

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