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Finding the Fourth Proportional to 3,447.30, 5,167.26 and 1,473.96

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Solution

The fourth proportional to 3,447.30, 5,167.26 and 1,473.96 is: 2,209.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,447.30 : 5,167.26 = 1,473.96 : x
  2. Step 2: Convert to fraction form
    3,447.30/5,167.26 = 1,473.96/x
  3. Step 3: Cross multiply
    3,447.30x = 5,167.26 × 1,473.96
  4. Step 4: Simplify right side
    3,447.30x = 7,616,334.55
  5. Step 5: Solve for x
    x = 7,616,334.55/3,447.30
  6. Step 6: Final answer
    x = 2,209.36

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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.