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Finding the Fourth Proportional to 3,684.93, 5,084.31 and 2,091.22

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Solution

The fourth proportional to 3,684.93, 5,084.31 and 2,091.22 is: 2,885.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,684.93 : 5,084.31 = 2,091.22 : x
  2. Step 2: Convert to fraction form
    3,684.93/5,084.31 = 2,091.22/x
  3. Step 3: Cross multiply
    3,684.93x = 5,084.31 × 2,091.22
  4. Step 4: Simplify right side
    3,684.93x = 10,632,405.89
  5. Step 5: Solve for x
    x = 10,632,405.89/3,684.93
  6. Step 6: Final answer
    x = 2,885.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.