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Finding the Fourth Proportional to 3,788.56, 5,678.70 and 1,836.40

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Solution

The fourth proportional to 3,788.56, 5,678.70 and 1,836.40 is: 2,752.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,788.56 : 5,678.70 = 1,836.40 : x
  2. Step 2: Convert to fraction form
    3,788.56/5,678.70 = 1,836.40/x
  3. Step 3: Cross multiply
    3,788.56x = 5,678.70 × 1,836.40
  4. Step 4: Simplify right side
    3,788.56x = 10,428,364.68
  5. Step 5: Solve for x
    x = 10,428,364.68/3,788.56
  6. Step 6: Final answer
    x = 2,752.59

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