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Finding the Fourth Proportional to 3,836.40, 5,750.55 and 2,189.40

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Solution

The fourth proportional to 3,836.40, 5,750.55 and 2,189.40 is: 3,281.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,836.40 : 5,750.55 = 2,189.40 : x
  2. Step 2: Convert to fraction form
    3,836.40/5,750.55 = 2,189.40/x
  3. Step 3: Cross multiply
    3,836.40x = 5,750.55 × 2,189.40
  4. Step 4: Simplify right side
    3,836.40x = 12,590,254.17
  5. Step 5: Solve for x
    x = 12,590,254.17/3,836.40
  6. Step 6: Final answer
    x = 3,281.79

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