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Finding the Fourth Proportional to 5,902.94, 8,863.82 and 3,439.55

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Solution

The fourth proportional to 5,902.94, 8,863.82 and 3,439.55 is: 5,164.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,902.94 : 8,863.82 = 3,439.55 : x
  2. Step 2: Convert to fraction form
    5,902.94/8,863.82 = 3,439.55/x
  3. Step 3: Cross multiply
    5,902.94x = 8,863.82 × 3,439.55
  4. Step 4: Simplify right side
    5,902.94x = 30,487,552.08
  5. Step 5: Solve for x
    x = 30,487,552.08/5,902.94
  6. Step 6: Final answer
    x = 5,164.81

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.