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Finding the Fourth Proportional to 4,196.59, 6,295.02 and 1,729.73

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Solution

The fourth proportional to 4,196.59, 6,295.02 and 1,729.73 is: 2,594.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,196.59 : 6,295.02 = 1,729.73 : x
  2. Step 2: Convert to fraction form
    4,196.59/6,295.02 = 1,729.73/x
  3. Step 3: Cross multiply
    4,196.59x = 6,295.02 × 1,729.73
  4. Step 4: Simplify right side
    4,196.59x = 10,888,694.20
  5. Step 5: Solve for x
    x = 10,888,694.20/4,196.59
  6. Step 6: Final answer
    x = 2,594.65

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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.