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Finding the Fourth Proportional to 3,765.43, 5,648.75 and 1,299.64

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Solution

The fourth proportional to 3,765.43, 5,648.75 and 1,299.64 is: 1,949.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,765.43 : 5,648.75 = 1,299.64 : x
  2. Step 2: Convert to fraction form
    3,765.43/5,648.75 = 1,299.64/x
  3. Step 3: Cross multiply
    3,765.43x = 5,648.75 × 1,299.64
  4. Step 4: Simplify right side
    3,765.43x = 7,341,341.45
  5. Step 5: Solve for x
    x = 7,341,341.45/3,765.43
  6. Step 6: Final answer
    x = 1,949.67

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