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Finding the Fourth Proportional to 3,634.94, 5,453.01 and 2,076.63

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Solution

The fourth proportional to 3,634.94, 5,453.01 and 2,076.63 is: 3,115.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,634.94 : 5,453.01 = 2,076.63 : x
  2. Step 2: Convert to fraction form
    3,634.94/5,453.01 = 2,076.63/x
  3. Step 3: Cross multiply
    3,634.94x = 5,453.01 × 2,076.63
  4. Step 4: Simplify right side
    3,634.94x = 11,323,884.16
  5. Step 5: Solve for x
    x = 11,323,884.16/3,634.94
  6. Step 6: Final answer
    x = 3,115.29

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.