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Finding the Fourth Proportional to 3,489.47, 5,234.19 and 892.41

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Solution

The fourth proportional to 3,489.47, 5,234.19 and 892.41 is: 1,338.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,489.47 : 5,234.19 = 892.41 : x
  2. Step 2: Convert to fraction form
    3,489.47/5,234.19 = 892.41/x
  3. Step 3: Cross multiply
    3,489.47x = 5,234.19 × 892.41
  4. Step 4: Simplify right side
    3,489.47x = 4,671,043.50
  5. Step 5: Solve for x
    x = 4,671,043.50/3,489.47
  6. Step 6: Final answer
    x = 1,338.61

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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.