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Finding the Fourth Proportional to 3,147.13, 4,720.96 and 955.88

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Solution

The fourth proportional to 3,147.13, 4,720.96 and 955.88 is: 1,433.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,147.13 : 4,720.96 = 955.88 : x
  2. Step 2: Convert to fraction form
    3,147.13/4,720.96 = 955.88/x
  3. Step 3: Cross multiply
    3,147.13x = 4,720.96 × 955.88
  4. Step 4: Simplify right side
    3,147.13x = 4,512,650.57
  5. Step 5: Solve for x
    x = 4,512,650.57/3,147.13
  6. Step 6: Final answer
    x = 1,433.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.