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Finding the Fourth Proportional to 3,893.22, 5,841 and 1,812.06

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Solution

The fourth proportional to 3,893.22, 5,841 and 1,812.06 is: 2,718.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,893.22 : 5,841 = 1,812.06 : x
  2. Step 2: Convert to fraction form
    3,893.22/5,841 = 1,812.06/x
  3. Step 3: Cross multiply
    3,893.22x = 5,841 × 1,812.06
  4. Step 4: Simplify right side
    3,893.22x = 10,584,242.46
  5. Step 5: Solve for x
    x = 10,584,242.46/3,893.22
  6. Step 6: Final answer
    x = 2,718.63

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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.