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Finding the Fourth Proportional to 3,802.28, 5,701.95 and 1,826.66

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Solution

The fourth proportional to 3,802.28, 5,701.95 and 1,826.66 is: 2,739.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,802.28 : 5,701.95 = 1,826.66 : x
  2. Step 2: Convert to fraction form
    3,802.28/5,701.95 = 1,826.66/x
  3. Step 3: Cross multiply
    3,802.28x = 5,701.95 × 1,826.66
  4. Step 4: Simplify right side
    3,802.28x = 10,415,495.48
  5. Step 5: Solve for x
    x = 10,415,495.48/3,802.28
  6. Step 6: Final answer
    x = 2,739.28

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