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Finding the Fourth Proportional to 3,709.11, 5,563.61 and 935.76

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Solution

The fourth proportional to 3,709.11, 5,563.61 and 935.76 is: 1,403.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,709.11 : 5,563.61 = 935.76 : x
  2. Step 2: Convert to fraction form
    3,709.11/5,563.61 = 935.76/x
  3. Step 3: Cross multiply
    3,709.11x = 5,563.61 × 935.76
  4. Step 4: Simplify right side
    3,709.11x = 5,206,208.88
  5. Step 5: Solve for x
    x = 5,206,208.88/3,709.11
  6. Step 6: Final answer
    x = 1,403.63

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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.