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Finding the Fourth Proportional to 3,764.45, 5,643.70 and 1,685.45

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Solution

The fourth proportional to 3,764.45, 5,643.70 and 1,685.45 is: 2,526.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,764.45 : 5,643.70 = 1,685.45 : x
  2. Step 2: Convert to fraction form
    3,764.45/5,643.70 = 1,685.45/x
  3. Step 3: Cross multiply
    3,764.45x = 5,643.70 × 1,685.45
  4. Step 4: Simplify right side
    3,764.45x = 9,512,174.17
  5. Step 5: Solve for x
    x = 9,512,174.17/3,764.45
  6. Step 6: Final answer
    x = 2,526.84

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