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Finding the Fourth Proportional to 3,826.62, 5,739.95 and 1,053.58

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Solution

The fourth proportional to 3,826.62, 5,739.95 and 1,053.58 is: 1,580.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,826.62 : 5,739.95 = 1,053.58 : x
  2. Step 2: Convert to fraction form
    3,826.62/5,739.95 = 1,053.58/x
  3. Step 3: Cross multiply
    3,826.62x = 5,739.95 × 1,053.58
  4. Step 4: Simplify right side
    3,826.62x = 6,047,496.52
  5. Step 5: Solve for x
    x = 6,047,496.52/3,826.62
  6. Step 6: Final answer
    x = 1,580.38

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