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Finding the Fourth Proportional to 3,633.43, 5,450.28 and 1,001.14

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Solution

The fourth proportional to 3,633.43, 5,450.28 and 1,001.14 is: 1,501.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,633.43 : 5,450.28 = 1,001.14 : x
  2. Step 2: Convert to fraction form
    3,633.43/5,450.28 = 1,001.14/x
  3. Step 3: Cross multiply
    3,633.43x = 5,450.28 × 1,001.14
  4. Step 4: Simplify right side
    3,633.43x = 5,456,509.41
  5. Step 5: Solve for x
    x = 5,456,509.41/3,633.43
  6. Step 6: Final answer
    x = 1,501.75

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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.