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Finding the Fourth Proportional to 3,816.96, 5,723.20 and 1,218.56

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Solution

The fourth proportional to 3,816.96, 5,723.20 and 1,218.56 is: 1,827.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,816.96 : 5,723.20 = 1,218.56 : x
  2. Step 2: Convert to fraction form
    3,816.96/5,723.20 = 1,218.56/x
  3. Step 3: Cross multiply
    3,816.96x = 5,723.20 × 1,218.56
  4. Step 4: Simplify right side
    3,816.96x = 6,974,062.59
  5. Step 5: Solve for x
    x = 6,974,062.59/3,816.96
  6. Step 6: Final answer
    x = 1,827.12

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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.