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Finding the Fourth Proportional to 5,882.22, 8,821.36 and 1,722.46

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Solution

The fourth proportional to 5,882.22, 8,821.36 and 1,722.46 is: 2,583.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,882.22 : 8,821.36 = 1,722.46 : x
  2. Step 2: Convert to fraction form
    5,882.22/8,821.36 = 1,722.46/x
  3. Step 3: Cross multiply
    5,882.22x = 8,821.36 × 1,722.46
  4. Step 4: Simplify right side
    5,882.22x = 15,194,439.75
  5. Step 5: Solve for x
    x = 15,194,439.75/5,882.22
  6. Step 6: Final answer
    x = 2,583.11

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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.