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Finding the Fourth Proportional to 5,389, 8,083.97 and 1,493.44

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Solution

The fourth proportional to 5,389, 8,083.97 and 1,493.44 is: 2,240.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,389 : 8,083.97 = 1,493.44 : x
  2. Step 2: Convert to fraction form
    5,389/8,083.97 = 1,493.44/x
  3. Step 3: Cross multiply
    5,389x = 8,083.97 × 1,493.44
  4. Step 4: Simplify right side
    5,389x = 12,072,924.16
  5. Step 5: Solve for x
    x = 12,072,924.16/5,389
  6. Step 6: Final answer
    x = 2,240.29

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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.