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Finding the Fourth Proportional to 2,956.95, 3,906.09 and 2,956.95

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Solution

The fourth proportional to 2,956.95, 3,906.09 and 2,956.95 is: 3,906.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,956.95 : 3,906.09 = 2,956.95 : x
  2. Step 2: Convert to fraction form
    2,956.95/3,906.09 = 2,956.95/x
  3. Step 3: Cross multiply
    2,956.95x = 3,906.09 × 2,956.95
  4. Step 4: Simplify right side
    2,956.95x = 11,550,112.83
  5. Step 5: Solve for x
    x = 11,550,112.83/2,956.95
  6. Step 6: Final answer
    x = 3,906.09

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.