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Finding the Fourth Proportional to 5,865.24, 8,094.12 and 3,212.64

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Solution

The fourth proportional to 5,865.24, 8,094.12 and 3,212.64 is: 4,433.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,865.24 : 8,094.12 = 3,212.64 : x
  2. Step 2: Convert to fraction form
    5,865.24/8,094.12 = 3,212.64/x
  3. Step 3: Cross multiply
    5,865.24x = 8,094.12 × 3,212.64
  4. Step 4: Simplify right side
    5,865.24x = 26,003,493.68
  5. Step 5: Solve for x
    x = 26,003,493.68/5,865.24
  6. Step 6: Final answer
    x = 4,433.49

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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.