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Finding the Fourth Proportional to 3,343.70, 5,016.35 and 1,394.82

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Solution

The fourth proportional to 3,343.70, 5,016.35 and 1,394.82 is: 2,092.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,343.70 : 5,016.35 = 1,394.82 : x
  2. Step 2: Convert to fraction form
    3,343.70/5,016.35 = 1,394.82/x
  3. Step 3: Cross multiply
    3,343.70x = 5,016.35 × 1,394.82
  4. Step 4: Simplify right side
    3,343.70x = 6,996,905.31
  5. Step 5: Solve for x
    x = 6,996,905.31/3,343.70
  6. Step 6: Final answer
    x = 2,092.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.