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Finding the Fourth Proportional to 5,728.69, 7,906.10 and 3,338.53

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Solution

The fourth proportional to 5,728.69, 7,906.10 and 3,338.53 is: 4,607.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,728.69 : 7,906.10 = 3,338.53 : x
  2. Step 2: Convert to fraction form
    5,728.69/7,906.10 = 3,338.53/x
  3. Step 3: Cross multiply
    5,728.69x = 7,906.10 × 3,338.53
  4. Step 4: Simplify right side
    5,728.69x = 26,394,770.26
  5. Step 5: Solve for x
    x = 26,394,770.26/5,728.69
  6. Step 6: Final answer
    x = 4,607.47

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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.