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Finding the Fourth Proportional to 5,308.85, 7,327.92 and 3,214.73

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Solution

The fourth proportional to 5,308.85, 7,327.92 and 3,214.73 is: 4,437.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,308.85 : 7,327.92 = 3,214.73 : x
  2. Step 2: Convert to fraction form
    5,308.85/7,327.92 = 3,214.73/x
  3. Step 3: Cross multiply
    5,308.85x = 7,327.92 × 3,214.73
  4. Step 4: Simplify right side
    5,308.85x = 23,557,231.55
  5. Step 5: Solve for x
    x = 23,557,231.55/5,308.85
  6. Step 6: Final answer
    x = 4,437.36

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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.