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Finding the Fourth Proportional to 5,296.14, 7,308.54 and 2,938.23

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Solution

The fourth proportional to 5,296.14, 7,308.54 and 2,938.23 is: 4,054.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,296.14 : 7,308.54 = 2,938.23 : x
  2. Step 2: Convert to fraction form
    5,296.14/7,308.54 = 2,938.23/x
  3. Step 3: Cross multiply
    5,296.14x = 7,308.54 × 2,938.23
  4. Step 4: Simplify right side
    5,296.14x = 21,474,171.48
  5. Step 5: Solve for x
    x = 21,474,171.48/5,296.14
  6. Step 6: Final answer
    x = 4,054.68

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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.