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Finding the Fourth Proportional to 5,493.84, 8,239.05 and 1,983.39

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Solution

The fourth proportional to 5,493.84, 8,239.05 and 1,983.39 is: 2,974.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,493.84 : 8,239.05 = 1,983.39 : x
  2. Step 2: Convert to fraction form
    5,493.84/8,239.05 = 1,983.39/x
  3. Step 3: Cross multiply
    5,493.84x = 8,239.05 × 1,983.39
  4. Step 4: Simplify right side
    5,493.84x = 16,341,249.38
  5. Step 5: Solve for x
    x = 16,341,249.38/5,493.84
  6. Step 6: Final answer
    x = 2,974.47

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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.