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Finding the Fourth Proportional to 5,404.92, 8,104.32 and 1,893.48

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Solution

The fourth proportional to 5,404.92, 8,104.32 and 1,893.48 is: 2,839.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,404.92 : 8,104.32 = 1,893.48 : x
  2. Step 2: Convert to fraction form
    5,404.92/8,104.32 = 1,893.48/x
  3. Step 3: Cross multiply
    5,404.92x = 8,104.32 × 1,893.48
  4. Step 4: Simplify right side
    5,404.92x = 15,345,367.83
  5. Step 5: Solve for x
    x = 15,345,367.83/5,404.92
  6. Step 6: Final answer
    x = 2,839.15

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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.