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Finding the Fourth Proportional to 3,627.69, 5,005.42 and 2,134.54

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Solution

The fourth proportional to 3,627.69, 5,005.42 and 2,134.54 is: 2,945.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,627.69 : 5,005.42 = 2,134.54 : x
  2. Step 2: Convert to fraction form
    3,627.69/5,005.42 = 2,134.54/x
  3. Step 3: Cross multiply
    3,627.69x = 5,005.42 × 2,134.54
  4. Step 4: Simplify right side
    3,627.69x = 10,684,269.21
  5. Step 5: Solve for x
    x = 10,684,269.21/3,627.69
  6. Step 6: Final answer
    x = 2,945.20

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