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Finding the Fourth Proportional to 3,738.46, 5,607.99 and 1,546.78

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Solution

The fourth proportional to 3,738.46, 5,607.99 and 1,546.78 is: 2,320.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,738.46 : 5,607.99 = 1,546.78 : x
  2. Step 2: Convert to fraction form
    3,738.46/5,607.99 = 1,546.78/x
  3. Step 3: Cross multiply
    3,738.46x = 5,607.99 × 1,546.78
  4. Step 4: Simplify right side
    3,738.46x = 8,674,326.77
  5. Step 5: Solve for x
    x = 8,674,326.77/3,738.46
  6. Step 6: Final answer
    x = 2,320.29

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