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Finding the Fourth Proportional to 4,133.94, 6,193.09 and 3,204.95

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Solution

The fourth proportional to 4,133.94, 6,193.09 and 3,204.95 is: 4,801.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,133.94 : 6,193.09 = 3,204.95 : x
  2. Step 2: Convert to fraction form
    4,133.94/6,193.09 = 3,204.95/x
  3. Step 3: Cross multiply
    4,133.94x = 6,193.09 × 3,204.95
  4. Step 4: Simplify right side
    4,133.94x = 19,848,543.80
  5. Step 5: Solve for x
    x = 19,848,543.80/4,133.94
  6. Step 6: Final answer
    x = 4,801.36

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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.