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Finding the Fourth Proportional to 3,960.27, 5,941.24 and 1,186.94

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Solution

The fourth proportional to 3,960.27, 5,941.24 and 1,186.94 is: 1,780.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,960.27 : 5,941.24 = 1,186.94 : x
  2. Step 2: Convert to fraction form
    3,960.27/5,941.24 = 1,186.94/x
  3. Step 3: Cross multiply
    3,960.27x = 5,941.24 × 1,186.94
  4. Step 4: Simplify right side
    3,960.27x = 7,051,907.29
  5. Step 5: Solve for x
    x = 7,051,907.29/3,960.27
  6. Step 6: Final answer
    x = 1,780.66

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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.