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Finding the Fourth Proportional to 3,447.20, 5,167.90 and 1,497.94

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Solution

The fourth proportional to 3,447.20, 5,167.90 and 1,497.94 is: 2,245.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,447.20 : 5,167.90 = 1,497.94 : x
  2. Step 2: Convert to fraction form
    3,447.20/5,167.90 = 1,497.94/x
  3. Step 3: Cross multiply
    3,447.20x = 5,167.90 × 1,497.94
  4. Step 4: Simplify right side
    3,447.20x = 7,741,204.13
  5. Step 5: Solve for x
    x = 7,741,204.13/3,447.20
  6. Step 6: Final answer
    x = 2,245.65

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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.