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Finding the Fourth Proportional to 5,147.32, 7,716.64 and 3,499.24

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Solution

The fourth proportional to 5,147.32, 7,716.64 and 3,499.24 is: 5,245.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,147.32 : 7,716.64 = 3,499.24 : x
  2. Step 2: Convert to fraction form
    5,147.32/7,716.64 = 3,499.24/x
  3. Step 3: Cross multiply
    5,147.32x = 7,716.64 × 3,499.24
  4. Step 4: Simplify right side
    5,147.32x = 27,002,375.35
  5. Step 5: Solve for x
    x = 27,002,375.35/5,147.32
  6. Step 6: Final answer
    x = 5,245.91

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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.