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Finding the Fourth Proportional to 5,553.38, 7,662.18 and 3,314.24

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Solution

The fourth proportional to 5,553.38, 7,662.18 and 3,314.24 is: 4,572.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,553.38 : 7,662.18 = 3,314.24 : x
  2. Step 2: Convert to fraction form
    5,553.38/7,662.18 = 3,314.24/x
  3. Step 3: Cross multiply
    5,553.38x = 7,662.18 × 3,314.24
  4. Step 4: Simplify right side
    5,553.38x = 25,394,303.44
  5. Step 5: Solve for x
    x = 25,394,303.44/5,553.38
  6. Step 6: Final answer
    x = 4,572.77

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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.