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Finding the Fourth Proportional to 3,709.27, 5,563.86 and 935.88

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Solution

The fourth proportional to 3,709.27, 5,563.86 and 935.88 is: 1,403.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,709.27 : 5,563.86 = 935.88 : x
  2. Step 2: Convert to fraction form
    3,709.27/5,563.86 = 935.88/x
  3. Step 3: Cross multiply
    3,709.27x = 5,563.86 × 935.88
  4. Step 4: Simplify right side
    3,709.27x = 5,207,105.30
  5. Step 5: Solve for x
    x = 5,207,105.30/3,709.27
  6. Step 6: Final answer
    x = 1,403.81

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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.