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Finding the Fourth Proportional to 3,742.58, 5,163.11 and 2,249.63

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Solution

The fourth proportional to 3,742.58, 5,163.11 and 2,249.63 is: 3,103.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,742.58 : 5,163.11 = 2,249.63 : x
  2. Step 2: Convert to fraction form
    3,742.58/5,163.11 = 2,249.63/x
  3. Step 3: Cross multiply
    3,742.58x = 5,163.11 × 2,249.63
  4. Step 4: Simplify right side
    3,742.58x = 11,615,050.09
  5. Step 5: Solve for x
    x = 11,615,050.09/3,742.58
  6. Step 6: Final answer
    x = 3,103.49

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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.