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Finding the Fourth Proportional to 5,672.94, 8,500.29 and 3,200.42

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Solution

The fourth proportional to 5,672.94, 8,500.29 and 3,200.42 is: 4,795.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,672.94 : 8,500.29 = 3,200.42 : x
  2. Step 2: Convert to fraction form
    5,672.94/8,500.29 = 3,200.42/x
  3. Step 3: Cross multiply
    5,672.94x = 8,500.29 × 3,200.42
  4. Step 4: Simplify right side
    5,672.94x = 27,204,455.62
  5. Step 5: Solve for x
    x = 27,204,455.62/5,672.94
  6. Step 6: Final answer
    x = 4,795.48

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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.