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Finding the Fourth Proportional to 5,984.31, 8,251.52 and 4,489.86

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Solution

The fourth proportional to 5,984.31, 8,251.52 and 4,489.86 is: 6,190.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,984.31 : 8,251.52 = 4,489.86 : x
  2. Step 2: Convert to fraction form
    5,984.31/8,251.52 = 4,489.86/x
  3. Step 3: Cross multiply
    5,984.31x = 8,251.52 × 4,489.86
  4. Step 4: Simplify right side
    5,984.31x = 37,048,147.14
  5. Step 5: Solve for x
    x = 37,048,147.14/5,984.31
  6. Step 6: Final answer
    x = 6,190.88

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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.