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Finding the Fourth Proportional to 5,576, 8,353.04 and 3,820.72

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Solution

The fourth proportional to 5,576, 8,353.04 and 3,820.72 is: 5,723.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,576 : 8,353.04 = 3,820.72 : x
  2. Step 2: Convert to fraction form
    5,576/8,353.04 = 3,820.72/x
  3. Step 3: Cross multiply
    5,576x = 8,353.04 × 3,820.72
  4. Step 4: Simplify right side
    5,576x = 31,914,626.99
  5. Step 5: Solve for x
    x = 31,914,626.99/5,576
  6. Step 6: Final answer
    x = 5,723.57

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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.