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Finding the Fourth Proportional to 3,813.60, 5,718.37 and 1,963.96

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Solution

The fourth proportional to 3,813.60, 5,718.37 and 1,963.96 is: 2,944.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,813.60 : 5,718.37 = 1,963.96 : x
  2. Step 2: Convert to fraction form
    3,813.60/5,718.37 = 1,963.96/x
  3. Step 3: Cross multiply
    3,813.60x = 5,718.37 × 1,963.96
  4. Step 4: Simplify right side
    3,813.60x = 11,230,645.04
  5. Step 5: Solve for x
    x = 11,230,645.04/3,813.60
  6. Step 6: Final answer
    x = 2,944.90

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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.