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Finding the Fourth Proportional to 5,738.43, 7,919.42 and 3,499.70

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Solution

The fourth proportional to 5,738.43, 7,919.42 and 3,499.70 is: 4,829.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,738.43 : 7,919.42 = 3,499.70 : x
  2. Step 2: Convert to fraction form
    5,738.43/7,919.42 = 3,499.70/x
  3. Step 3: Cross multiply
    5,738.43x = 7,919.42 × 3,499.70
  4. Step 4: Simplify right side
    5,738.43x = 27,715,537.08
  5. Step 5: Solve for x
    x = 27,715,537.08/5,738.43
  6. Step 6: Final answer
    x = 4,829.81

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.