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Finding the Fourth Proportional to 5,865.42, 8,093.97 and 3,212.31

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Solution

The fourth proportional to 5,865.42, 8,093.97 and 3,212.31 is: 4,432.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,865.42 : 8,093.97 = 3,212.31 : x
  2. Step 2: Convert to fraction form
    5,865.42/8,093.97 = 3,212.31/x
  3. Step 3: Cross multiply
    5,865.42x = 8,093.97 × 3,212.31
  4. Step 4: Simplify right side
    5,865.42x = 26,000,340.77
  5. Step 5: Solve for x
    x = 26,000,340.77/5,865.42
  6. Step 6: Final answer
    x = 4,432.82

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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.