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Finding the Fourth Proportional to 5,296.22, 7,308.24 and 3,171.32

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Solution

The fourth proportional to 5,296.22, 7,308.24 and 3,171.32 is: 4,376.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,296.22 : 7,308.24 = 3,171.32 : x
  2. Step 2: Convert to fraction form
    5,296.22/7,308.24 = 3,171.32/x
  3. Step 3: Cross multiply
    5,296.22x = 7,308.24 × 3,171.32
  4. Step 4: Simplify right side
    5,296.22x = 23,176,731.14
  5. Step 5: Solve for x
    x = 23,176,731.14/5,296.22
  6. Step 6: Final answer
    x = 4,376.09

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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.