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Finding the Fourth Proportional to 3,945.75, 5,922.92 and 3,931.05

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Solution

The fourth proportional to 3,945.75, 5,922.92 and 3,931.05 is: 5,900.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,945.75 : 5,922.92 = 3,931.05 : x
  2. Step 2: Convert to fraction form
    3,945.75/5,922.92 = 3,931.05/x
  3. Step 3: Cross multiply
    3,945.75x = 5,922.92 × 3,931.05
  4. Step 4: Simplify right side
    3,945.75x = 23,283,275.01
  5. Step 5: Solve for x
    x = 23,283,275.01/3,945.75
  6. Step 6: Final answer
    x = 5,900.85

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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.