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Finding the Fourth Proportional to 3,107.84, 4,286.05 and 3,092.33

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Solution

The fourth proportional to 3,107.84, 4,286.05 and 3,092.33 is: 4,264.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,107.84 : 4,286.05 = 3,092.33 : x
  2. Step 2: Convert to fraction form
    3,107.84/4,286.05 = 3,092.33/x
  3. Step 3: Cross multiply
    3,107.84x = 4,286.05 × 3,092.33
  4. Step 4: Simplify right side
    3,107.84x = 13,253,851.84
  5. Step 5: Solve for x
    x = 13,253,851.84/3,107.84
  6. Step 6: Final answer
    x = 4,264.66

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1.5x scale

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.