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Finding the Fourth Proportional to 3,753.24, 5,623.69 and 1,286.71

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Solution

The fourth proportional to 3,753.24, 5,623.69 and 1,286.71 is: 1,927.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,753.24 : 5,623.69 = 1,286.71 : x
  2. Step 2: Convert to fraction form
    3,753.24/5,623.69 = 1,286.71/x
  3. Step 3: Cross multiply
    3,753.24x = 5,623.69 × 1,286.71
  4. Step 4: Simplify right side
    3,753.24x = 7,236,023.61
  5. Step 5: Solve for x
    x = 7,236,023.61/3,753.24
  6. Step 6: Final answer
    x = 1,927.94

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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.