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Finding the Fourth Proportional to 3,893.63, 5,837.17 and 1,812.57

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Solution

The fourth proportional to 3,893.63, 5,837.17 and 1,812.57 is: 2,717.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,893.63 : 5,837.17 = 1,812.57 : x
  2. Step 2: Convert to fraction form
    3,893.63/5,837.17 = 1,812.57/x
  3. Step 3: Cross multiply
    3,893.63x = 5,837.17 × 1,812.57
  4. Step 4: Simplify right side
    3,893.63x = 10,580,279.23
  5. Step 5: Solve for x
    x = 10,580,279.23/3,893.63
  6. Step 6: Final answer
    x = 2,717.33

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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.