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Finding the Fourth Proportional to 3,147.92, 4,720 and 956

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Solution

The fourth proportional to 3,147.92, 4,720 and 956 is: 1,433.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,147.92 : 4,720 = 956 : x
  2. Step 2: Convert to fraction form
    3,147.92/4,720 = 956/x
  3. Step 3: Cross multiply
    3,147.92x = 4,720 × 956
  4. Step 4: Simplify right side
    3,147.92x = 4,512,320
  5. Step 5: Solve for x
    x = 4,512,320/3,147.92
  6. Step 6: Final answer
    x = 1,433.43

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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.