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Finding the Fourth Proportional to 3,527.05, 4,863.34 and 2,249.22

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Solution

The fourth proportional to 3,527.05, 4,863.34 and 2,249.22 is: 3,101.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,527.05 : 4,863.34 = 2,249.22 : x
  2. Step 2: Convert to fraction form
    3,527.05/4,863.34 = 2,249.22/x
  3. Step 3: Cross multiply
    3,527.05x = 4,863.34 × 2,249.22
  4. Step 4: Simplify right side
    3,527.05x = 10,938,734.21
  5. Step 5: Solve for x
    x = 10,938,734.21/3,527.05
  6. Step 6: Final answer
    x = 3,101.38

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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.