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Finding the Fourth Proportional to 3,682.24, 5,526.24 and 2,039.92

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Solution

The fourth proportional to 3,682.24, 5,526.24 and 2,039.92 is: 3,061.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,682.24 : 5,526.24 = 2,039.92 : x
  2. Step 2: Convert to fraction form
    3,682.24/5,526.24 = 2,039.92/x
  3. Step 3: Cross multiply
    3,682.24x = 5,526.24 × 2,039.92
  4. Step 4: Simplify right side
    3,682.24x = 11,273,087.50
  5. Step 5: Solve for x
    x = 11,273,087.50/3,682.24
  6. Step 6: Final answer
    x = 3,061.48

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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.