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Finding the Fourth Proportional to 3,836.34, 5,749.47 and 1,525.14

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Solution

The fourth proportional to 3,836.34, 5,749.47 and 1,525.14 is: 2,285.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,836.34 : 5,749.47 = 1,525.14 : x
  2. Step 2: Convert to fraction form
    3,836.34/5,749.47 = 1,525.14/x
  3. Step 3: Cross multiply
    3,836.34x = 5,749.47 × 1,525.14
  4. Step 4: Simplify right side
    3,836.34x = 8,768,746.68
  5. Step 5: Solve for x
    x = 8,768,746.68/3,836.34
  6. Step 6: Final answer
    x = 2,285.71

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