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Finding the Fourth Proportional to 5,149.40, 7,707.90 and 3,691.40

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Solution

The fourth proportional to 5,149.40, 7,707.90 and 3,691.40 is: 5,525.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,149.40 : 7,707.90 = 3,691.40 : x
  2. Step 2: Convert to fraction form
    5,149.40/7,707.90 = 3,691.40/x
  3. Step 3: Cross multiply
    5,149.40x = 7,707.90 × 3,691.40
  4. Step 4: Simplify right side
    5,149.40x = 28,452,942.06
  5. Step 5: Solve for x
    x = 28,452,942.06/5,149.40
  6. Step 6: Final answer
    x = 5,525.49

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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.