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Finding the Fourth Proportional to 3,943.06, 5,914.06 and 1,170.02

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Solution

The fourth proportional to 3,943.06, 5,914.06 and 1,170.02 is: 1,754.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,943.06 : 5,914.06 = 1,170.02 : x
  2. Step 2: Convert to fraction form
    3,943.06/5,914.06 = 1,170.02/x
  3. Step 3: Cross multiply
    3,943.06x = 5,914.06 × 1,170.02
  4. Step 4: Simplify right side
    3,943.06x = 6,919,568.48
  5. Step 5: Solve for x
    x = 6,919,568.48/3,943.06
  6. Step 6: Final answer
    x = 1,754.87

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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.