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Finding the Fourth Proportional to 3,719.73, 5,133.90 and 2,227.34

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Solution

The fourth proportional to 3,719.73, 5,133.90 and 2,227.34 is: 3,074.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,719.73 : 5,133.90 = 2,227.34 : x
  2. Step 2: Convert to fraction form
    3,719.73/5,133.90 = 2,227.34/x
  3. Step 3: Cross multiply
    3,719.73x = 5,133.90 × 2,227.34
  4. Step 4: Simplify right side
    3,719.73x = 11,434,915.16
  5. Step 5: Solve for x
    x = 11,434,915.16/3,719.73
  6. Step 6: Final answer
    x = 3,074.13

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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.