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Finding the Fourth Proportional to 3,682.36, 5,522.72 and 1,049.82

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Solution

The fourth proportional to 3,682.36, 5,522.72 and 1,049.82 is: 1,574.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,682.36 : 5,522.72 = 1,049.82 : x
  2. Step 2: Convert to fraction form
    3,682.36/5,522.72 = 1,049.82/x
  3. Step 3: Cross multiply
    3,682.36x = 5,522.72 × 1,049.82
  4. Step 4: Simplify right side
    3,682.36x = 5,797,829.05
  5. Step 5: Solve for x
    x = 5,797,829.05/3,682.36
  6. Step 6: Final answer
    x = 1,574.49

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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.