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Finding the Fourth Proportional to 5,727, 7,906.50 and 4,327.32

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Solution

The fourth proportional to 5,727, 7,906.50 and 4,327.32 is: 5,974.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,727 : 7,906.50 = 4,327.32 : x
  2. Step 2: Convert to fraction form
    5,727/7,906.50 = 4,327.32/x
  3. Step 3: Cross multiply
    5,727x = 7,906.50 × 4,327.32
  4. Step 4: Simplify right side
    5,727x = 34,213,955.58
  5. Step 5: Solve for x
    x = 34,213,955.58/5,727
  6. Step 6: Final answer
    x = 5,974.15

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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.