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Finding the Fourth Proportional to 3,960.62, 5,941.70 and 1,187.08

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Solution

The fourth proportional to 3,960.62, 5,941.70 and 1,187.08 is: 1,780.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,960.62 : 5,941.70 = 1,187.08 : x
  2. Step 2: Convert to fraction form
    3,960.62/5,941.70 = 1,187.08/x
  3. Step 3: Cross multiply
    3,960.62x = 5,941.70 × 1,187.08
  4. Step 4: Simplify right side
    3,960.62x = 7,053,273.24
  5. Step 5: Solve for x
    x = 7,053,273.24/3,960.62
  6. Step 6: Final answer
    x = 1,780.85

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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.