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Finding the Fourth Proportional to 5,414.73, 8,124.62 and 2,946.62

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Solution

The fourth proportional to 5,414.73, 8,124.62 and 2,946.62 is: 4,421.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,414.73 : 8,124.62 = 2,946.62 : x
  2. Step 2: Convert to fraction form
    5,414.73/8,124.62 = 2,946.62/x
  3. Step 3: Cross multiply
    5,414.73x = 8,124.62 × 2,946.62
  4. Step 4: Simplify right side
    5,414.73x = 23,940,112.43
  5. Step 5: Solve for x
    x = 23,940,112.43/5,414.73
  6. Step 6: Final answer
    x = 4,421.29

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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.