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Finding the Fourth Proportional to 5,809.12, 8,021.90 and 3,716.92

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Solution

The fourth proportional to 5,809.12, 8,021.90 and 3,716.92 is: 5,132.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,809.12 : 8,021.90 = 3,716.92 : x
  2. Step 2: Convert to fraction form
    5,809.12/8,021.90 = 3,716.92/x
  3. Step 3: Cross multiply
    5,809.12x = 8,021.90 × 3,716.92
  4. Step 4: Simplify right side
    5,809.12x = 29,816,760.55
  5. Step 5: Solve for x
    x = 29,816,760.55/5,809.12
  6. Step 6: Final answer
    x = 5,132.75

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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.