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Finding the Fourth Proportional to 3,916.22, 5,874.34 and 994.52

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Solution

The fourth proportional to 3,916.22, 5,874.34 and 994.52 is: 1,491.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,916.22 : 5,874.34 = 994.52 : x
  2. Step 2: Convert to fraction form
    3,916.22/5,874.34 = 994.52/x
  3. Step 3: Cross multiply
    3,916.22x = 5,874.34 × 994.52
  4. Step 4: Simplify right side
    3,916.22x = 5,842,148.62
  5. Step 5: Solve for x
    x = 5,842,148.62/3,916.22
  6. Step 6: Final answer
    x = 1,491.78

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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.