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Finding the Fourth Proportional to 5,369.12, 8,063.28 and 3,524

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Solution

The fourth proportional to 5,369.12, 8,063.28 and 3,524 is: 5,292.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,369.12 : 8,063.28 = 3,524 : x
  2. Step 2: Convert to fraction form
    5,369.12/8,063.28 = 3,524/x
  3. Step 3: Cross multiply
    5,369.12x = 8,063.28 × 3,524
  4. Step 4: Simplify right side
    5,369.12x = 28,414,998.72
  5. Step 5: Solve for x
    x = 28,414,998.72/5,369.12
  6. Step 6: Final answer
    x = 5,292.30

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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.