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Finding the Fourth Proportional to 5,468.31, 7,544.66 and 3,230.37

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Solution

The fourth proportional to 5,468.31, 7,544.66 and 3,230.37 is: 4,456.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,468.31 : 7,544.66 = 3,230.37 : x
  2. Step 2: Convert to fraction form
    5,468.31/7,544.66 = 3,230.37/x
  3. Step 3: Cross multiply
    5,468.31x = 7,544.66 × 3,230.37
  4. Step 4: Simplify right side
    5,468.31x = 24,372,027.17
  5. Step 5: Solve for x
    x = 24,372,027.17/5,468.31
  6. Step 6: Final answer
    x = 4,456.96

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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.