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Finding the Fourth Proportional to 5,899.56, 8,131.92 and 4,478.61

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Solution

The fourth proportional to 5,899.56, 8,131.92 and 4,478.61 is: 6,173.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,899.56 : 8,131.92 = 4,478.61 : x
  2. Step 2: Convert to fraction form
    5,899.56/8,131.92 = 4,478.61/x
  3. Step 3: Cross multiply
    5,899.56x = 8,131.92 × 4,478.61
  4. Step 4: Simplify right side
    5,899.56x = 36,419,698.23
  5. Step 5: Solve for x
    x = 36,419,698.23/5,899.56
  6. Step 6: Final answer
    x = 6,173.29

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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.