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Finding the Fourth Proportional to 4,759.68, 7,134.04 and 3,197.80

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Solution

The fourth proportional to 4,759.68, 7,134.04 and 3,197.80 is: 4,793.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,759.68 : 7,134.04 = 3,197.80 : x
  2. Step 2: Convert to fraction form
    4,759.68/7,134.04 = 3,197.80/x
  3. Step 3: Cross multiply
    4,759.68x = 7,134.04 × 3,197.80
  4. Step 4: Simplify right side
    4,759.68x = 22,813,233.11
  5. Step 5: Solve for x
    x = 22,813,233.11/4,759.68
  6. Step 6: Final answer
    x = 4,793.02

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