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Finding the Fourth Proportional to 3,960.39, 5,941.35 and 1,187.06

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Solution

The fourth proportional to 3,960.39, 5,941.35 and 1,187.06 is: 1,780.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,960.39 : 5,941.35 = 1,187.06 : x
  2. Step 2: Convert to fraction form
    3,960.39/5,941.35 = 1,187.06/x
  3. Step 3: Cross multiply
    3,960.39x = 5,941.35 × 1,187.06
  4. Step 4: Simplify right side
    3,960.39x = 7,052,709.22
  5. Step 5: Solve for x
    x = 7,052,709.22/3,960.39
  6. Step 6: Final answer
    x = 1,780.81

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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.