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Finding the Fourth Proportional to 3,998.25, 5,998.23 and 1,689.75

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Solution

The fourth proportional to 3,998.25, 5,998.23 and 1,689.75 is: 2,534.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,998.25 : 5,998.23 = 1,689.75 : x
  2. Step 2: Convert to fraction form
    3,998.25/5,998.23 = 1,689.75/x
  3. Step 3: Cross multiply
    3,998.25x = 5,998.23 × 1,689.75
  4. Step 4: Simplify right side
    3,998.25x = 10,135,509.14
  5. Step 5: Solve for x
    x = 10,135,509.14/3,998.25
  6. Step 6: Final answer
    x = 2,534.99

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.