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Finding the Fourth Proportional to 3,846.46, 5,308.46 and 2,274.26

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Solution

The fourth proportional to 3,846.46, 5,308.46 and 2,274.26 is: 3,138.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,846.46 : 5,308.46 = 2,274.26 : x
  2. Step 2: Convert to fraction form
    3,846.46/5,308.46 = 2,274.26/x
  3. Step 3: Cross multiply
    3,846.46x = 5,308.46 × 2,274.26
  4. Step 4: Simplify right side
    3,846.46x = 12,072,818.24
  5. Step 5: Solve for x
    x = 12,072,818.24/3,846.46
  6. Step 6: Final answer
    x = 3,138.68

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Half scale
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Double scale
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Similar ratio
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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.