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Finding the Fourth Proportional to 5,796.96, 8,003.84 and 4,468.48

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Solution

The fourth proportional to 5,796.96, 8,003.84 and 4,468.48 is: 6,169.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,796.96 : 8,003.84 = 4,468.48 : x
  2. Step 2: Convert to fraction form
    5,796.96/8,003.84 = 4,468.48/x
  3. Step 3: Cross multiply
    5,796.96x = 8,003.84 × 4,468.48
  4. Step 4: Simplify right side
    5,796.96x = 35,764,998.96
  5. Step 5: Solve for x
    x = 35,764,998.96/5,796.96
  6. Step 6: Final answer
    x = 6,169.61

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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.