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Finding the Fourth Proportional to 3,980.46, 5,969.06 and 1,729.14

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Solution

The fourth proportional to 3,980.46, 5,969.06 and 1,729.14 is: 2,592.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,980.46 : 5,969.06 = 1,729.14 : x
  2. Step 2: Convert to fraction form
    3,980.46/5,969.06 = 1,729.14/x
  3. Step 3: Cross multiply
    3,980.46x = 5,969.06 × 1,729.14
  4. Step 4: Simplify right side
    3,980.46x = 10,321,315.86
  5. Step 5: Solve for x
    x = 10,321,315.86/3,980.46
  6. Step 6: Final answer
    x = 2,592.99

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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.