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Finding the Fourth Proportional to 5,919.44, 8,879.60 and 1,536.92

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Solution

The fourth proportional to 5,919.44, 8,879.60 and 1,536.92 is: 2,305.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,919.44 : 8,879.60 = 1,536.92 : x
  2. Step 2: Convert to fraction form
    5,919.44/8,879.60 = 1,536.92/x
  3. Step 3: Cross multiply
    5,919.44x = 8,879.60 × 1,536.92
  4. Step 4: Simplify right side
    5,919.44x = 13,647,234.83
  5. Step 5: Solve for x
    x = 13,647,234.83/5,919.44
  6. Step 6: Final answer
    x = 2,305.49

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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.