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Finding the Fourth Proportional to 3,878.56, 5,366.16 and 3,734.56

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Solution

The fourth proportional to 3,878.56, 5,366.16 and 3,734.56 is: 5,166.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,878.56 : 5,366.16 = 3,734.56 : x
  2. Step 2: Convert to fraction form
    3,878.56/5,366.16 = 3,734.56/x
  3. Step 3: Cross multiply
    3,878.56x = 5,366.16 × 3,734.56
  4. Step 4: Simplify right side
    3,878.56x = 20,040,246.49
  5. Step 5: Solve for x
    x = 20,040,246.49/3,878.56
  6. Step 6: Final answer
    x = 5,166.93

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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.