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Finding the Fourth Proportional to 5,946.68, 8,912.15 and 3,167.37

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Solution

The fourth proportional to 5,946.68, 8,912.15 and 3,167.37 is: 4,746.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,946.68 : 8,912.15 = 3,167.37 : x
  2. Step 2: Convert to fraction form
    5,946.68/8,912.15 = 3,167.37/x
  3. Step 3: Cross multiply
    5,946.68x = 8,912.15 × 3,167.37
  4. Step 4: Simplify right side
    5,946.68x = 28,228,072.59
  5. Step 5: Solve for x
    x = 28,228,072.59/5,946.68
  6. Step 6: Final answer
    x = 4,746.86

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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.