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Finding the Fourth Proportional to 5,576.50, 8,367.99 and 2,498.50

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Solution

The fourth proportional to 5,576.50, 8,367.99 and 2,498.50 is: 3,749.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,576.50 : 8,367.99 = 2,498.50 : x
  2. Step 2: Convert to fraction form
    5,576.50/8,367.99 = 2,498.50/x
  3. Step 3: Cross multiply
    5,576.50x = 8,367.99 × 2,498.50
  4. Step 4: Simplify right side
    5,576.50x = 20,907,423.02
  5. Step 5: Solve for x
    x = 20,907,423.02/5,576.50
  6. Step 6: Final answer
    x = 3,749.20

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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.