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Finding the Fourth Proportional to 3,279.96, 4,522.92 and 3,023.58

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Solution

The fourth proportional to 3,279.96, 4,522.92 and 3,023.58 is: 4,169.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,279.96 : 4,522.92 = 3,023.58 : x
  2. Step 2: Convert to fraction form
    3,279.96/4,522.92 = 3,023.58/x
  3. Step 3: Cross multiply
    3,279.96x = 4,522.92 × 3,023.58
  4. Step 4: Simplify right side
    3,279.96x = 13,675,410.45
  5. Step 5: Solve for x
    x = 13,675,410.45/3,279.96
  6. Step 6: Final answer
    x = 4,169.38

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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.