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Finding the Fourth Proportional to 3,770.70, 5,655.93 and 1,823.10

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Solution

The fourth proportional to 3,770.70, 5,655.93 and 1,823.10 is: 2,734.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,770.70 : 5,655.93 = 1,823.10 : x
  2. Step 2: Convert to fraction form
    3,770.70/5,655.93 = 1,823.10/x
  3. Step 3: Cross multiply
    3,770.70x = 5,655.93 × 1,823.10
  4. Step 4: Simplify right side
    3,770.70x = 10,311,325.98
  5. Step 5: Solve for x
    x = 10,311,325.98/3,770.70
  6. Step 6: Final answer
    x = 2,734.59

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