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Finding the Fourth Proportional to 3,825, 5,279.37 and 2,253.60

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Solution

The fourth proportional to 3,825, 5,279.37 and 2,253.60 is: 3,110.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,825 : 5,279.37 = 2,253.60 : x
  2. Step 2: Convert to fraction form
    3,825/5,279.37 = 2,253.60/x
  3. Step 3: Cross multiply
    3,825x = 5,279.37 × 2,253.60
  4. Step 4: Simplify right side
    3,825x = 11,897,588.23
  5. Step 5: Solve for x
    x = 11,897,588.23/3,825
  6. Step 6: Final answer
    x = 3,110.48

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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.