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Finding the Fourth Proportional to 3,749.88, 5,628.54 and 2,773.08

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Solution

The fourth proportional to 3,749.88, 5,628.54 and 2,773.08 is: 4,162.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,749.88 : 5,628.54 = 2,773.08 : x
  2. Step 2: Convert to fraction form
    3,749.88/5,628.54 = 2,773.08/x
  3. Step 3: Cross multiply
    3,749.88x = 5,628.54 × 2,773.08
  4. Step 4: Simplify right side
    3,749.88x = 15,608,391.70
  5. Step 5: Solve for x
    x = 15,608,391.70/3,749.88
  6. Step 6: Final answer
    x = 4,162.37

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.