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Finding the Fourth Proportional to 3,394.51, 5,092.28 and 1,202.73

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Solution

The fourth proportional to 3,394.51, 5,092.28 and 1,202.73 is: 1,804.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,394.51 : 5,092.28 = 1,202.73 : x
  2. Step 2: Convert to fraction form
    3,394.51/5,092.28 = 1,202.73/x
  3. Step 3: Cross multiply
    3,394.51x = 5,092.28 × 1,202.73
  4. Step 4: Simplify right side
    3,394.51x = 6,124,652.73
  5. Step 5: Solve for x
    x = 6,124,652.73/3,394.51
  6. Step 6: Final answer
    x = 1,804.28

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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.