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Finding the Fourth Proportional to 3,633.80, 5,450.70 and 1,326.20

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Solution

The fourth proportional to 3,633.80, 5,450.70 and 1,326.20 is: 1,989.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,633.80 : 5,450.70 = 1,326.20 : x
  2. Step 2: Convert to fraction form
    3,633.80/5,450.70 = 1,326.20/x
  3. Step 3: Cross multiply
    3,633.80x = 5,450.70 × 1,326.20
  4. Step 4: Simplify right side
    3,633.80x = 7,228,718.34
  5. Step 5: Solve for x
    x = 7,228,718.34/3,633.80
  6. Step 6: Final answer
    x = 1,989.30

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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.