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Finding the Fourth Proportional to 3,757.52, 5,186.20 and 2,186.52

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Solution

The fourth proportional to 3,757.52, 5,186.20 and 2,186.52 is: 3,017.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,757.52 : 5,186.20 = 2,186.52 : x
  2. Step 2: Convert to fraction form
    3,757.52/5,186.20 = 2,186.52/x
  3. Step 3: Cross multiply
    3,757.52x = 5,186.20 × 2,186.52
  4. Step 4: Simplify right side
    3,757.52x = 11,339,730.02
  5. Step 5: Solve for x
    x = 11,339,730.02/3,757.52
  6. Step 6: Final answer
    x = 3,017.88

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.