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Finding the Fourth Proportional to 3,776.27, 5,662.70 and 1,142.76

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Solution

The fourth proportional to 3,776.27, 5,662.70 and 1,142.76 is: 1,713.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,776.27 : 5,662.70 = 1,142.76 : x
  2. Step 2: Convert to fraction form
    3,776.27/5,662.70 = 1,142.76/x
  3. Step 3: Cross multiply
    3,776.27x = 5,662.70 × 1,142.76
  4. Step 4: Simplify right side
    3,776.27x = 6,471,107.05
  5. Step 5: Solve for x
    x = 6,471,107.05/3,776.27
  6. Step 6: Final answer
    x = 1,713.62

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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.