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Finding the Fourth Proportional to 3,634.96, 5,453.24 and 1,326.40

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Solution

The fourth proportional to 3,634.96, 5,453.24 and 1,326.40 is: 1,989.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,634.96 : 5,453.24 = 1,326.40 : x
  2. Step 2: Convert to fraction form
    3,634.96/5,453.24 = 1,326.40/x
  3. Step 3: Cross multiply
    3,634.96x = 5,453.24 × 1,326.40
  4. Step 4: Simplify right side
    3,634.96x = 7,233,177.54
  5. Step 5: Solve for x
    x = 7,233,177.54/3,634.96
  6. Step 6: Final answer
    x = 1,989.89

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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.