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Finding the Fourth Proportional to 5,882.98, 8,824.05 and 3,416.26

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Solution

The fourth proportional to 5,882.98, 8,824.05 and 3,416.26 is: 5,124.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,882.98 : 8,824.05 = 3,416.26 : x
  2. Step 2: Convert to fraction form
    5,882.98/8,824.05 = 3,416.26/x
  3. Step 3: Cross multiply
    5,882.98x = 8,824.05 × 3,416.26
  4. Step 4: Simplify right side
    5,882.98x = 30,145,249.05
  5. Step 5: Solve for x
    x = 30,145,249.05/5,882.98
  6. Step 6: Final answer
    x = 5,124.15

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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.