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Finding the Fourth Proportional to 3,634.65, 5,448.74 and 1,689.21

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Solution

The fourth proportional to 3,634.65, 5,448.74 and 1,689.21 is: 2,532.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,634.65 : 5,448.74 = 1,689.21 : x
  2. Step 2: Convert to fraction form
    3,634.65/5,448.74 = 1,689.21/x
  3. Step 3: Cross multiply
    3,634.65x = 5,448.74 × 1,689.21
  4. Step 4: Simplify right side
    3,634.65x = 9,204,057.65
  5. Step 5: Solve for x
    x = 9,204,057.65/3,634.65
  6. Step 6: Final answer
    x = 2,532.31

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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.