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Finding the Fourth Proportional to 5,379.36, 7,414.38 and 4,102.80

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Solution

The fourth proportional to 5,379.36, 7,414.38 and 4,102.80 is: 5,654.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,379.36 : 7,414.38 = 4,102.80 : x
  2. Step 2: Convert to fraction form
    5,379.36/7,414.38 = 4,102.80/x
  3. Step 3: Cross multiply
    5,379.36x = 7,414.38 × 4,102.80
  4. Step 4: Simplify right side
    5,379.36x = 30,419,718.26
  5. Step 5: Solve for x
    x = 30,419,718.26/5,379.36
  6. Step 6: Final answer
    x = 5,654.90

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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.