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Finding the Fourth Proportional to 5,438.73, 7,505.34 and 3,170.49

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Solution

The fourth proportional to 5,438.73, 7,505.34 and 3,170.49 is: 4,375.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,438.73 : 7,505.34 = 3,170.49 : x
  2. Step 2: Convert to fraction form
    5,438.73/7,505.34 = 3,170.49/x
  3. Step 3: Cross multiply
    5,438.73x = 7,505.34 × 3,170.49
  4. Step 4: Simplify right side
    5,438.73x = 23,795,605.42
  5. Step 5: Solve for x
    x = 23,795,605.42/5,438.73
  6. Step 6: Final answer
    x = 4,375.21

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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.