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Finding the Fourth Proportional to 3,438.41, 5,147.42 and 2,266.20

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Solution

The fourth proportional to 3,438.41, 5,147.42 and 2,266.20 is: 3,392.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,438.41 : 5,147.42 = 2,266.20 : x
  2. Step 2: Convert to fraction form
    3,438.41/5,147.42 = 2,266.20/x
  3. Step 3: Cross multiply
    3,438.41x = 5,147.42 × 2,266.20
  4. Step 4: Simplify right side
    3,438.41x = 11,665,071.87
  5. Step 5: Solve for x
    x = 11,665,071.87/3,438.41
  6. Step 6: Final answer
    x = 3,392.58

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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.