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Finding the Fourth Proportional to 3,906.74, 5,391.31 and 2,138.34

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Solution

The fourth proportional to 3,906.74, 5,391.31 and 2,138.34 is: 2,950.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,906.74 : 5,391.31 = 2,138.34 : x
  2. Step 2: Convert to fraction form
    3,906.74/5,391.31 = 2,138.34/x
  3. Step 3: Cross multiply
    3,906.74x = 5,391.31 × 2,138.34
  4. Step 4: Simplify right side
    3,906.74x = 11,528,453.83
  5. Step 5: Solve for x
    x = 11,528,453.83/3,906.74
  6. Step 6: Final answer
    x = 2,950.91

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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.