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Finding the Fourth Proportional to 4,069.73, 6,102.77 and 1,729.64

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Solution

The fourth proportional to 4,069.73, 6,102.77 and 1,729.64 is: 2,593.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,069.73 : 6,102.77 = 1,729.64 : x
  2. Step 2: Convert to fraction form
    4,069.73/6,102.77 = 1,729.64/x
  3. Step 3: Cross multiply
    4,069.73x = 6,102.77 × 1,729.64
  4. Step 4: Simplify right side
    4,069.73x = 10,555,595.10
  5. Step 5: Solve for x
    x = 10,555,595.10/4,069.73
  6. Step 6: Final answer
    x = 2,593.68

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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.