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Finding the Fourth Proportional to 3,209.11, 4,428.94 and 1,811.75

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Solution

The fourth proportional to 3,209.11, 4,428.94 and 1,811.75 is: 2,500.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,209.11 : 4,428.94 = 1,811.75 : x
  2. Step 2: Convert to fraction form
    3,209.11/4,428.94 = 1,811.75/x
  3. Step 3: Cross multiply
    3,209.11x = 4,428.94 × 1,811.75
  4. Step 4: Simplify right side
    3,209.11x = 8,024,132.05
  5. Step 5: Solve for x
    x = 8,024,132.05/3,209.11
  6. Step 6: Final answer
    x = 2,500.42

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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.