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Finding the Fourth Proportional to 5,414.70, 8,104.05 and 3,929.70

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Solution

The fourth proportional to 5,414.70, 8,104.05 and 3,929.70 is: 5,881.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,414.70 : 8,104.05 = 3,929.70 : x
  2. Step 2: Convert to fraction form
    5,414.70/8,104.05 = 3,929.70/x
  3. Step 3: Cross multiply
    5,414.70x = 8,104.05 × 3,929.70
  4. Step 4: Simplify right side
    5,414.70x = 31,846,485.29
  5. Step 5: Solve for x
    x = 31,846,485.29/5,414.70
  6. Step 6: Final answer
    x = 5,881.49

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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.