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Finding the Fourth Proportional to 5,306.82, 7,323.66 and 2,949

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Solution

The fourth proportional to 5,306.82, 7,323.66 and 2,949 is: 4,069.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,306.82 : 7,323.66 = 2,949 : x
  2. Step 2: Convert to fraction form
    5,306.82/7,323.66 = 2,949/x
  3. Step 3: Cross multiply
    5,306.82x = 7,323.66 × 2,949
  4. Step 4: Simplify right side
    5,306.82x = 21,597,473.34
  5. Step 5: Solve for x
    x = 21,597,473.34/5,306.82
  6. Step 6: Final answer
    x = 4,069.76

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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.