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Finding the Fourth Proportional to 5,319.70, 7,340.94 and 2,962

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Solution

The fourth proportional to 5,319.70, 7,340.94 and 2,962 is: 4,087.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,319.70 : 7,340.94 = 2,962 : x
  2. Step 2: Convert to fraction form
    5,319.70/7,340.94 = 2,962/x
  3. Step 3: Cross multiply
    5,319.70x = 7,340.94 × 2,962
  4. Step 4: Simplify right side
    5,319.70x = 21,743,864.28
  5. Step 5: Solve for x
    x = 21,743,864.28/5,319.70
  6. Step 6: Final answer
    x = 4,087.42

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.