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Finding the Fourth Proportional to 3,447.31, 5,167.94 and 1,368.78

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Solution

The fourth proportional to 3,447.31, 5,167.94 and 1,368.78 is: 2,051.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,447.31 : 5,167.94 = 1,368.78 : x
  2. Step 2: Convert to fraction form
    3,447.31/5,167.94 = 1,368.78/x
  3. Step 3: Cross multiply
    3,447.31x = 5,167.94 × 1,368.78
  4. Step 4: Simplify right side
    3,447.31x = 7,073,772.91
  5. Step 5: Solve for x
    x = 7,073,772.91/3,447.31
  6. Step 6: Final answer
    x = 2,051.97

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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.