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Finding the Fourth Proportional to 3,780.50, 5,656.50 and 3,396.82

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Solution

The fourth proportional to 3,780.50, 5,656.50 and 3,396.82 is: 5,082.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,780.50 : 5,656.50 = 3,396.82 : x
  2. Step 2: Convert to fraction form
    3,780.50/5,656.50 = 3,396.82/x
  3. Step 3: Cross multiply
    3,780.50x = 5,656.50 × 3,396.82
  4. Step 4: Simplify right side
    3,780.50x = 19,214,112.33
  5. Step 5: Solve for x
    x = 19,214,112.33/3,780.50
  6. Step 6: Final answer
    x = 5,082.43

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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.