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Finding the Fourth Proportional to 3,559.65, 4,912.30 and 1,966.41

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Solution

The fourth proportional to 3,559.65, 4,912.30 and 1,966.41 is: 2,713.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,559.65 : 4,912.30 = 1,966.41 : x
  2. Step 2: Convert to fraction form
    3,559.65/4,912.30 = 1,966.41/x
  3. Step 3: Cross multiply
    3,559.65x = 4,912.30 × 1,966.41
  4. Step 4: Simplify right side
    3,559.65x = 9,659,566.52
  5. Step 5: Solve for x
    x = 9,659,566.52/3,559.65
  6. Step 6: Final answer
    x = 2,713.62

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.