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Finding the Fourth Proportional to 4,133.97, 5,698.22 and 3,236.09

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Solution

The fourth proportional to 4,133.97, 5,698.22 and 3,236.09 is: 4,460.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,133.97 : 5,698.22 = 3,236.09 : x
  2. Step 2: Convert to fraction form
    4,133.97/5,698.22 = 3,236.09/x
  3. Step 3: Cross multiply
    4,133.97x = 5,698.22 × 3,236.09
  4. Step 4: Simplify right side
    4,133.97x = 18,439,908.09
  5. Step 5: Solve for x
    x = 18,439,908.09/4,133.97
  6. Step 6: Final answer
    x = 4,460.58

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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.