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Finding the Fourth Proportional to 3,847.60, 5,771.40 and 3,823.30

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Solution

The fourth proportional to 3,847.60, 5,771.40 and 3,823.30 is: 5,734.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,847.60 : 5,771.40 = 3,823.30 : x
  2. Step 2: Convert to fraction form
    3,847.60/5,771.40 = 3,823.30/x
  3. Step 3: Cross multiply
    3,847.60x = 5,771.40 × 3,823.30
  4. Step 4: Simplify right side
    3,847.60x = 22,065,793.62
  5. Step 5: Solve for x
    x = 22,065,793.62/3,847.60
  6. Step 6: Final answer
    x = 5,734.95

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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.