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Finding the Fourth Proportional to 3,960.95, 5,941.82 and 1,363.88

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Solution

The fourth proportional to 3,960.95, 5,941.82 and 1,363.88 is: 2,045.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,960.95 : 5,941.82 = 1,363.88 : x
  2. Step 2: Convert to fraction form
    3,960.95/5,941.82 = 1,363.88/x
  3. Step 3: Cross multiply
    3,960.95x = 5,941.82 × 1,363.88
  4. Step 4: Simplify right side
    3,960.95x = 8,103,947.73
  5. Step 5: Solve for x
    x = 8,103,947.73/3,960.95
  6. Step 6: Final answer
    x = 2,045.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.