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Finding the Fourth Proportional to 3,651.49, 5,477.73 and 1,185.51

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Solution

The fourth proportional to 3,651.49, 5,477.73 and 1,185.51 is: 1,778.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,651.49 : 5,477.73 = 1,185.51 : x
  2. Step 2: Convert to fraction form
    3,651.49/5,477.73 = 1,185.51/x
  3. Step 3: Cross multiply
    3,651.49x = 5,477.73 × 1,185.51
  4. Step 4: Simplify right side
    3,651.49x = 6,493,903.69
  5. Step 5: Solve for x
    x = 6,493,903.69/3,651.49
  6. Step 6: Final answer
    x = 1,778.43

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.