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Finding the Fourth Proportional to 5,296.06, 7,308.84 and 2,938.21

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Solution

The fourth proportional to 5,296.06, 7,308.84 and 2,938.21 is: 4,054.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,296.06 : 7,308.84 = 2,938.21 : x
  2. Step 2: Convert to fraction form
    5,296.06/7,308.84 = 2,938.21/x
  3. Step 3: Cross multiply
    5,296.06x = 7,308.84 × 2,938.21
  4. Step 4: Simplify right side
    5,296.06x = 21,474,906.78
  5. Step 5: Solve for x
    x = 21,474,906.78/5,296.06
  6. Step 6: Final answer
    x = 4,054.88

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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.