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Finding the Fourth Proportional to 3,829.83, 5,744.76 and 1,364.74

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Solution

The fourth proportional to 3,829.83, 5,744.76 and 1,364.74 is: 2,047.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,829.83 : 5,744.76 = 1,364.74 : x
  2. Step 2: Convert to fraction form
    3,829.83/5,744.76 = 1,364.74/x
  3. Step 3: Cross multiply
    3,829.83x = 5,744.76 × 1,364.74
  4. Step 4: Simplify right side
    3,829.83x = 7,840,103.76
  5. Step 5: Solve for x
    x = 7,840,103.76/3,829.83
  6. Step 6: Final answer
    x = 2,047.12

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