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Finding the Fourth Proportional to 5,057.92, 7,579.04 and 3,408.64

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Solution

The fourth proportional to 5,057.92, 7,579.04 and 3,408.64 is: 5,107.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,057.92 : 7,579.04 = 3,408.64 : x
  2. Step 2: Convert to fraction form
    5,057.92/7,579.04 = 3,408.64/x
  3. Step 3: Cross multiply
    5,057.92x = 7,579.04 × 3,408.64
  4. Step 4: Simplify right side
    5,057.92x = 25,834,218.91
  5. Step 5: Solve for x
    x = 25,834,218.91/5,057.92
  6. Step 6: Final answer
    x = 5,107.68

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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.