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Finding the Fourth Proportional to 5,793.12, 8,684.08 and 3,820.23

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Solution

The fourth proportional to 5,793.12, 8,684.08 and 3,820.23 is: 5,726.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,793.12 : 8,684.08 = 3,820.23 : x
  2. Step 2: Convert to fraction form
    5,793.12/8,684.08 = 3,820.23/x
  3. Step 3: Cross multiply
    5,793.12x = 8,684.08 × 3,820.23
  4. Step 4: Simplify right side
    5,793.12x = 33,175,173.39
  5. Step 5: Solve for x
    x = 33,175,173.39/5,793.12
  6. Step 6: Final answer
    x = 5,726.65

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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.