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Finding the Fourth Proportional to 3,785.76, 5,675.81 and 2,549.70

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Solution

The fourth proportional to 3,785.76, 5,675.81 and 2,549.70 is: 3,822.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,785.76 : 5,675.81 = 2,549.70 : x
  2. Step 2: Convert to fraction form
    3,785.76/5,675.81 = 2,549.70/x
  3. Step 3: Cross multiply
    3,785.76x = 5,675.81 × 2,549.70
  4. Step 4: Simplify right side
    3,785.76x = 14,471,600.01
  5. Step 5: Solve for x
    x = 14,471,600.01/3,785.76
  6. Step 6: Final answer
    x = 3,822.64

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