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Finding the Fourth Proportional to 3,499.44, 5,249.22 and 1,651.86

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Solution

The fourth proportional to 3,499.44, 5,249.22 and 1,651.86 is: 2,477.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,499.44 : 5,249.22 = 1,651.86 : x
  2. Step 2: Convert to fraction form
    3,499.44/5,249.22 = 1,651.86/x
  3. Step 3: Cross multiply
    3,499.44x = 5,249.22 × 1,651.86
  4. Step 4: Simplify right side
    3,499.44x = 8,670,976.55
  5. Step 5: Solve for x
    x = 8,670,976.55/3,499.44
  6. Step 6: Final answer
    x = 2,477.82

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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.