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Finding the Fourth Proportional to 3,836.96, 5,756.88 and 1,646.24

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Solution

The fourth proportional to 3,836.96, 5,756.88 and 1,646.24 is: 2,469.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,836.96 : 5,756.88 = 1,646.24 : x
  2. Step 2: Convert to fraction form
    3,836.96/5,756.88 = 1,646.24/x
  3. Step 3: Cross multiply
    3,836.96x = 5,756.88 × 1,646.24
  4. Step 4: Simplify right side
    3,836.96x = 9,477,206.13
  5. Step 5: Solve for x
    x = 9,477,206.13/3,836.96
  6. Step 6: Final answer
    x = 2,469.98

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