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Finding the Fourth Proportional to 5,101.92, 7,648.50 and 2,327.64

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Solution

The fourth proportional to 5,101.92, 7,648.50 and 2,327.64 is: 3,489.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,101.92 : 7,648.50 = 2,327.64 : x
  2. Step 2: Convert to fraction form
    5,101.92/7,648.50 = 2,327.64/x
  3. Step 3: Cross multiply
    5,101.92x = 7,648.50 × 2,327.64
  4. Step 4: Simplify right side
    5,101.92x = 17,802,954.54
  5. Step 5: Solve for x
    x = 17,802,954.54/5,101.92
  6. Step 6: Final answer
    x = 3,489.46

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.