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Finding the Fourth Proportional to 3,983.49, 5,975.37 and 1,350.97

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Solution

The fourth proportional to 3,983.49, 5,975.37 and 1,350.97 is: 2,026.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,983.49 : 5,975.37 = 1,350.97 : x
  2. Step 2: Convert to fraction form
    3,983.49/5,975.37 = 1,350.97/x
  3. Step 3: Cross multiply
    3,983.49x = 5,975.37 × 1,350.97
  4. Step 4: Simplify right side
    3,983.49x = 8,072,530.67
  5. Step 5: Solve for x
    x = 8,072,530.67/3,983.49
  6. Step 6: Final answer
    x = 2,026.50

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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.