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Finding the Fourth Proportional to 3,969.09, 5,953.64 and 1,662.21

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Solution

The fourth proportional to 3,969.09, 5,953.64 and 1,662.21 is: 2,493.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,969.09 : 5,953.64 = 1,662.21 : x
  2. Step 2: Convert to fraction form
    3,969.09/5,953.64 = 1,662.21/x
  3. Step 3: Cross multiply
    3,969.09x = 5,953.64 × 1,662.21
  4. Step 4: Simplify right side
    3,969.09x = 9,896,191.63
  5. Step 5: Solve for x
    x = 9,896,191.63/3,969.09
  6. Step 6: Final answer
    x = 2,493.32

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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.