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Finding the Fourth Proportional to 3,753.54, 5,180.33 and 2,262.21

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Solution

The fourth proportional to 3,753.54, 5,180.33 and 2,262.21 is: 3,122.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,753.54 : 5,180.33 = 2,262.21 : x
  2. Step 2: Convert to fraction form
    3,753.54/5,180.33 = 2,262.21/x
  3. Step 3: Cross multiply
    3,753.54x = 5,180.33 × 2,262.21
  4. Step 4: Simplify right side
    3,753.54x = 11,718,994.33
  5. Step 5: Solve for x
    x = 11,718,994.33/3,753.54
  6. Step 6: Final answer
    x = 3,122.12

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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.