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Finding the Fourth Proportional to 3,138.84, 4,708.36 and 1,191.18

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Solution

The fourth proportional to 3,138.84, 4,708.36 and 1,191.18 is: 1,786.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,138.84 : 4,708.36 = 1,191.18 : x
  2. Step 2: Convert to fraction form
    3,138.84/4,708.36 = 1,191.18/x
  3. Step 3: Cross multiply
    3,138.84x = 4,708.36 × 1,191.18
  4. Step 4: Simplify right side
    3,138.84x = 5,608,504.26
  5. Step 5: Solve for x
    x = 5,608,504.26/3,138.84
  6. Step 6: Final answer
    x = 1,786.81

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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.