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Finding the Fourth Proportional to 5,951.25, 8,209.02 and 3,829.55

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Solution

The fourth proportional to 5,951.25, 8,209.02 and 3,829.55 is: 5,282.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,951.25 : 8,209.02 = 3,829.55 : x
  2. Step 2: Convert to fraction form
    5,951.25/8,209.02 = 3,829.55/x
  3. Step 3: Cross multiply
    5,951.25x = 8,209.02 × 3,829.55
  4. Step 4: Simplify right side
    5,951.25x = 31,436,852.54
  5. Step 5: Solve for x
    x = 31,436,852.54/5,951.25
  6. Step 6: Final answer
    x = 5,282.39

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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.