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Finding the Fourth Proportional to 5,149.56, 7,720.70 and 3,668.78

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Solution

The fourth proportional to 5,149.56, 7,720.70 and 3,668.78 is: 5,500.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,149.56 : 7,720.70 = 3,668.78 : x
  2. Step 2: Convert to fraction form
    5,149.56/7,720.70 = 3,668.78/x
  3. Step 3: Cross multiply
    5,149.56x = 7,720.70 × 3,668.78
  4. Step 4: Simplify right side
    5,149.56x = 28,325,549.75
  5. Step 5: Solve for x
    x = 28,325,549.75/5,149.56
  6. Step 6: Final answer
    x = 5,500.58

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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.