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Finding the Fourth Proportional to 3,627.96, 5,005.40 and 2,034.38

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Solution

The fourth proportional to 3,627.96, 5,005.40 and 2,034.38 is: 2,806.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,627.96 : 5,005.40 = 2,034.38 : x
  2. Step 2: Convert to fraction form
    3,627.96/5,005.40 = 2,034.38/x
  3. Step 3: Cross multiply
    3,627.96x = 5,005.40 × 2,034.38
  4. Step 4: Simplify right side
    3,627.96x = 10,182,850.45
  5. Step 5: Solve for x
    x = 10,182,850.45/3,627.96
  6. Step 6: Final answer
    x = 2,806.77

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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.