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Finding the Fourth Proportional to 3,625.86, 5,003.21 and 2,297.22

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Solution

The fourth proportional to 3,625.86, 5,003.21 and 2,297.22 is: 3,169.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,625.86 : 5,003.21 = 2,297.22 : x
  2. Step 2: Convert to fraction form
    3,625.86/5,003.21 = 2,297.22/x
  3. Step 3: Cross multiply
    3,625.86x = 5,003.21 × 2,297.22
  4. Step 4: Simplify right side
    3,625.86x = 11,493,474.08
  5. Step 5: Solve for x
    x = 11,493,474.08/3,625.86
  6. Step 6: Final answer
    x = 3,169.86

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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.