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Finding the Fourth Proportional to 4,536.62, 6,802.02 and 1,905.83

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Solution

The fourth proportional to 4,536.62, 6,802.02 and 1,905.83 is: 2,857.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,536.62 : 6,802.02 = 1,905.83 : x
  2. Step 2: Convert to fraction form
    4,536.62/6,802.02 = 1,905.83/x
  3. Step 3: Cross multiply
    4,536.62x = 6,802.02 × 1,905.83
  4. Step 4: Simplify right side
    4,536.62x = 12,963,493.78
  5. Step 5: Solve for x
    x = 12,963,493.78/4,536.62
  6. Step 6: Final answer
    x = 2,857.52

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