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Finding the Fourth Proportional to 3,749.67, 5,173.83 and 2,257.11

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Solution

The fourth proportional to 3,749.67, 5,173.83 and 2,257.11 is: 3,114.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,749.67 : 5,173.83 = 2,257.11 : x
  2. Step 2: Convert to fraction form
    3,749.67/5,173.83 = 2,257.11/x
  3. Step 3: Cross multiply
    3,749.67x = 5,173.83 × 2,257.11
  4. Step 4: Simplify right side
    3,749.67x = 11,677,903.43
  5. Step 5: Solve for x
    x = 11,677,903.43/3,749.67
  6. Step 6: Final answer
    x = 3,114.38

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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.