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Finding the Fourth Proportional to 5,507.76, 8,261.60 and 3,919.76

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Solution

The fourth proportional to 5,507.76, 8,261.60 and 3,919.76 is: 5,879.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,507.76 : 8,261.60 = 3,919.76 : x
  2. Step 2: Convert to fraction form
    5,507.76/8,261.60 = 3,919.76/x
  3. Step 3: Cross multiply
    5,507.76x = 8,261.60 × 3,919.76
  4. Step 4: Simplify right side
    5,507.76x = 32,383,489.22
  5. Step 5: Solve for x
    x = 32,383,489.22/5,507.76
  6. Step 6: Final answer
    x = 5,879.61

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.