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Finding the Fourth Proportional to 3,396.74, 5,092.02 and 1,204.29

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Solution

The fourth proportional to 3,396.74, 5,092.02 and 1,204.29 is: 1,805.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,396.74 : 5,092.02 = 1,204.29 : x
  2. Step 2: Convert to fraction form
    3,396.74/5,092.02 = 1,204.29/x
  3. Step 3: Cross multiply
    3,396.74x = 5,092.02 × 1,204.29
  4. Step 4: Simplify right side
    3,396.74x = 6,132,268.77
  5. Step 5: Solve for x
    x = 6,132,268.77/3,396.74
  6. Step 6: Final answer
    x = 1,805.34

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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.