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Finding the Fourth Proportional to 3,197.95, 4,768.68 and 2,809.54

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Solution

The fourth proportional to 3,197.95, 4,768.68 and 2,809.54 is: 4,189.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,197.95 : 4,768.68 = 2,809.54 : x
  2. Step 2: Convert to fraction form
    3,197.95/4,768.68 = 2,809.54/x
  3. Step 3: Cross multiply
    3,197.95x = 4,768.68 × 2,809.54
  4. Step 4: Simplify right side
    3,197.95x = 13,397,797.21
  5. Step 5: Solve for x
    x = 13,397,797.21/3,197.95
  6. Step 6: Final answer
    x = 4,189.50

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.