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Finding the Fourth Proportional to 3,964.68, 5,945.58 and 1,366.98

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Solution

The fourth proportional to 3,964.68, 5,945.58 and 1,366.98 is: 2,049.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,964.68 : 5,945.58 = 1,366.98 : x
  2. Step 2: Convert to fraction form
    3,964.68/5,945.58 = 1,366.98/x
  3. Step 3: Cross multiply
    3,964.68x = 5,945.58 × 1,366.98
  4. Step 4: Simplify right side
    3,964.68x = 8,127,488.95
  5. Step 5: Solve for x
    x = 8,127,488.95/3,964.68
  6. Step 6: Final answer
    x = 2,049.97

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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.