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Finding the Fourth Proportional to 3,992.49, 5,991.17 and 1,527.56

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Solution

The fourth proportional to 3,992.49, 5,991.17 and 1,527.56 is: 2,292.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,992.49 : 5,991.17 = 1,527.56 : x
  2. Step 2: Convert to fraction form
    3,992.49/5,991.17 = 1,527.56/x
  3. Step 3: Cross multiply
    3,992.49x = 5,991.17 × 1,527.56
  4. Step 4: Simplify right side
    3,992.49x = 9,151,856.52
  5. Step 5: Solve for x
    x = 9,151,856.52/3,992.49
  6. Step 6: Final answer
    x = 2,292.27

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.