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Finding the Fourth Proportional to 3,890.22, 5,371.50 and 3,182.82

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Solution

The fourth proportional to 3,890.22, 5,371.50 and 3,182.82 is: 4,394.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,890.22 : 5,371.50 = 3,182.82 : x
  2. Step 2: Convert to fraction form
    3,890.22/5,371.50 = 3,182.82/x
  3. Step 3: Cross multiply
    3,890.22x = 5,371.50 × 3,182.82
  4. Step 4: Simplify right side
    3,890.22x = 17,096,517.63
  5. Step 5: Solve for x
    x = 17,096,517.63/3,890.22
  6. Step 6: Final answer
    x = 4,394.74

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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.