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Finding the Fourth Proportional to 3,986.30, 5,981.06 and 1,796.06

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Solution

The fourth proportional to 3,986.30, 5,981.06 and 1,796.06 is: 2,694.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,986.30 : 5,981.06 = 1,796.06 : x
  2. Step 2: Convert to fraction form
    3,986.30/5,981.06 = 1,796.06/x
  3. Step 3: Cross multiply
    3,986.30x = 5,981.06 × 1,796.06
  4. Step 4: Simplify right side
    3,986.30x = 10,742,342.62
  5. Step 5: Solve for x
    x = 10,742,342.62/3,986.30
  6. Step 6: Final answer
    x = 2,694.82

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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.