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Finding the Fourth Proportional to 3,759.86, 5,185.80 and 3,334.97

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Solution

The fourth proportional to 3,759.86, 5,185.80 and 3,334.97 is: 4,599.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,759.86 : 5,185.80 = 3,334.97 : x
  2. Step 2: Convert to fraction form
    3,759.86/5,185.80 = 3,334.97/x
  3. Step 3: Cross multiply
    3,759.86x = 5,185.80 × 3,334.97
  4. Step 4: Simplify right side
    3,759.86x = 17,294,487.43
  5. Step 5: Solve for x
    x = 17,294,487.43/3,759.86
  6. Step 6: Final answer
    x = 4,599.77

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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.