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Finding the Fourth Proportional to 5,946.48, 8,906.76 and 2,862

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Solution

The fourth proportional to 5,946.48, 8,906.76 and 2,862 is: 4,286.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,946.48 : 8,906.76 = 2,862 : x
  2. Step 2: Convert to fraction form
    5,946.48/8,906.76 = 2,862/x
  3. Step 3: Cross multiply
    5,946.48x = 8,906.76 × 2,862
  4. Step 4: Simplify right side
    5,946.48x = 25,491,147.12
  5. Step 5: Solve for x
    x = 25,491,147.12/5,946.48
  6. Step 6: Final answer
    x = 4,286.76

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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.