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Finding the Fourth Proportional to 4,194.38, 5,790.68 and 2,799.56

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Solution

The fourth proportional to 4,194.38, 5,790.68 and 2,799.56 is: 3,865.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,194.38 : 5,790.68 = 2,799.56 : x
  2. Step 2: Convert to fraction form
    4,194.38/5,790.68 = 2,799.56/x
  3. Step 3: Cross multiply
    4,194.38x = 5,790.68 × 2,799.56
  4. Step 4: Simplify right side
    4,194.38x = 16,211,313.15
  5. Step 5: Solve for x
    x = 16,211,313.15/4,194.38
  6. Step 6: Final answer
    x = 3,865.01

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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.