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Finding the Fourth Proportional to 3,394.33, 5,092.17 and 1,204.59

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Solution

The fourth proportional to 3,394.33, 5,092.17 and 1,204.59 is: 1,807.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,394.33 : 5,092.17 = 1,204.59 : x
  2. Step 2: Convert to fraction form
    3,394.33/5,092.17 = 1,204.59/x
  3. Step 3: Cross multiply
    3,394.33x = 5,092.17 × 1,204.59
  4. Step 4: Simplify right side
    3,394.33x = 6,133,977.06
  5. Step 5: Solve for x
    x = 6,133,977.06/3,394.33
  6. Step 6: Final answer
    x = 1,807.12

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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.