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Finding the Fourth Proportional to 3,813.53, 5,716.32 and 1,960.52

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Solution

The fourth proportional to 3,813.53, 5,716.32 and 1,960.52 is: 2,938.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,813.53 : 5,716.32 = 1,960.52 : x
  2. Step 2: Convert to fraction form
    3,813.53/5,716.32 = 1,960.52/x
  3. Step 3: Cross multiply
    3,813.53x = 5,716.32 × 1,960.52
  4. Step 4: Simplify right side
    3,813.53x = 11,206,931.10
  5. Step 5: Solve for x
    x = 11,206,931.10/3,813.53
  6. Step 6: Final answer
    x = 2,938.73

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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.