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Finding the Fourth Proportional to 5,938.75, 8,195.13 and 3,286

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Solution

The fourth proportional to 5,938.75, 8,195.13 and 3,286 is: 4,534.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,938.75 : 8,195.13 = 3,286 : x
  2. Step 2: Convert to fraction form
    5,938.75/8,195.13 = 3,286/x
  3. Step 3: Cross multiply
    5,938.75x = 8,195.13 × 3,286
  4. Step 4: Simplify right side
    5,938.75x = 26,929,197.18
  5. Step 5: Solve for x
    x = 26,929,197.18/5,938.75
  6. Step 6: Final answer
    x = 4,534.49

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.