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Finding the Fourth Proportional to 3,843.52, 5,302.11 and 2,249.14

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Solution

The fourth proportional to 3,843.52, 5,302.11 and 2,249.14 is: 3,102.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,843.52 : 5,302.11 = 2,249.14 : x
  2. Step 2: Convert to fraction form
    3,843.52/5,302.11 = 2,249.14/x
  3. Step 3: Cross multiply
    3,843.52x = 5,302.11 × 2,249.14
  4. Step 4: Simplify right side
    3,843.52x = 11,925,187.69
  5. Step 5: Solve for x
    x = 11,925,187.69/3,843.52
  6. Step 6: Final answer
    x = 3,102.67

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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.