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Finding the Fourth Proportional to 3,628.52, 5,442.74 and 892.52

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Solution

The fourth proportional to 3,628.52, 5,442.74 and 892.52 is: 1,338.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,628.52 : 5,442.74 = 892.52 : x
  2. Step 2: Convert to fraction form
    3,628.52/5,442.74 = 892.52/x
  3. Step 3: Cross multiply
    3,628.52x = 5,442.74 × 892.52
  4. Step 4: Simplify right side
    3,628.52x = 4,857,754.30
  5. Step 5: Solve for x
    x = 4,857,754.30/3,628.52
  6. Step 6: Final answer
    x = 1,338.77

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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.