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Finding the Fourth Proportional to 3,439.80, 5,163.66 and 2,142

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Solution

The fourth proportional to 3,439.80, 5,163.66 and 2,142 is: 3,215.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,439.80 : 5,163.66 = 2,142 : x
  2. Step 2: Convert to fraction form
    3,439.80/5,163.66 = 2,142/x
  3. Step 3: Cross multiply
    3,439.80x = 5,163.66 × 2,142
  4. Step 4: Simplify right side
    3,439.80x = 11,060,559.72
  5. Step 5: Solve for x
    x = 11,060,559.72/3,439.80
  6. Step 6: Final answer
    x = 3,215.47

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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.