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Finding the Fourth Proportional to 3,846.74, 5,308.26 and 2,274.26

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Solution

The fourth proportional to 3,846.74, 5,308.26 and 2,274.26 is: 3,138.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,846.74 : 5,308.26 = 2,274.26 : x
  2. Step 2: Convert to fraction form
    3,846.74/5,308.26 = 2,274.26/x
  3. Step 3: Cross multiply
    3,846.74x = 5,308.26 × 2,274.26
  4. Step 4: Simplify right side
    3,846.74x = 12,072,363.39
  5. Step 5: Solve for x
    x = 12,072,363.39/3,846.74
  6. Step 6: Final answer
    x = 3,138.34

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Half scale
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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.