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Finding the Fourth Proportional to 5,171.36, 7,757.08 and 2,052.11

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Solution

The fourth proportional to 5,171.36, 7,757.08 and 2,052.11 is: 3,078.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,171.36 : 7,757.08 = 2,052.11 : x
  2. Step 2: Convert to fraction form
    5,171.36/7,757.08 = 2,052.11/x
  3. Step 3: Cross multiply
    5,171.36x = 7,757.08 × 2,052.11
  4. Step 4: Simplify right side
    5,171.36x = 15,918,395.70
  5. Step 5: Solve for x
    x = 15,918,395.70/5,171.36
  6. Step 6: Final answer
    x = 3,078.19

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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.