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Finding the Fourth Proportional to 4,606.52, 6,354.06 and 3,768.44

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Solution

The fourth proportional to 4,606.52, 6,354.06 and 3,768.44 is: 5,198.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,606.52 : 6,354.06 = 3,768.44 : x
  2. Step 2: Convert to fraction form
    4,606.52/6,354.06 = 3,768.44/x
  3. Step 3: Cross multiply
    4,606.52x = 6,354.06 × 3,768.44
  4. Step 4: Simplify right side
    4,606.52x = 23,944,893.87
  5. Step 5: Solve for x
    x = 23,944,893.87/4,606.52
  6. Step 6: Final answer
    x = 5,198.04

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.