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Finding the Fourth Proportional to 3,811.59, 5,717.97 and 1,213.92

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Solution

The fourth proportional to 3,811.59, 5,717.97 and 1,213.92 is: 1,821.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,811.59 : 5,717.97 = 1,213.92 : x
  2. Step 2: Convert to fraction form
    3,811.59/5,717.97 = 1,213.92/x
  3. Step 3: Cross multiply
    3,811.59x = 5,717.97 × 1,213.92
  4. Step 4: Simplify right side
    3,811.59x = 6,941,158.14
  5. Step 5: Solve for x
    x = 6,941,158.14/3,811.59
  6. Step 6: Final answer
    x = 1,821.07

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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.