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Finding the Fourth Proportional to 3,834, 5,290.95 and 2,155.41

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Solution

The fourth proportional to 3,834, 5,290.95 and 2,155.41 is: 2,974.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,834 : 5,290.95 = 2,155.41 : x
  2. Step 2: Convert to fraction form
    3,834/5,290.95 = 2,155.41/x
  3. Step 3: Cross multiply
    3,834x = 5,290.95 × 2,155.41
  4. Step 4: Simplify right side
    3,834x = 11,404,166.54
  5. Step 5: Solve for x
    x = 11,404,166.54/3,834
  6. Step 6: Final answer
    x = 2,974.48

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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.