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Finding the Fourth Proportional to 5,658.89, 8,489.24 and 2,150.37

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Solution

The fourth proportional to 5,658.89, 8,489.24 and 2,150.37 is: 3,225.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,658.89 : 8,489.24 = 2,150.37 : x
  2. Step 2: Convert to fraction form
    5,658.89/8,489.24 = 2,150.37/x
  3. Step 3: Cross multiply
    5,658.89x = 8,489.24 × 2,150.37
  4. Step 4: Simplify right side
    5,658.89x = 18,255,007.02
  5. Step 5: Solve for x
    x = 18,255,007.02/5,658.89
  6. Step 6: Final answer
    x = 3,225.90

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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.