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Finding the Fourth Proportional to 3,767.96, 5,643.74 and 2,123.66

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Solution

The fourth proportional to 3,767.96, 5,643.74 and 2,123.66 is: 3,180.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,767.96 : 5,643.74 = 2,123.66 : x
  2. Step 2: Convert to fraction form
    3,767.96/5,643.74 = 2,123.66/x
  3. Step 3: Cross multiply
    3,767.96x = 5,643.74 × 2,123.66
  4. Step 4: Simplify right side
    3,767.96x = 11,985,384.89
  5. Step 5: Solve for x
    x = 11,985,384.89/3,767.96
  6. Step 6: Final answer
    x = 3,180.87

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