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Finding the Fourth Proportional to 5,185.43, 7,771.43 and 2,713.99

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Solution

The fourth proportional to 5,185.43, 7,771.43 and 2,713.99 is: 4,067.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,185.43 : 7,771.43 = 2,713.99 : x
  2. Step 2: Convert to fraction form
    5,185.43/7,771.43 = 2,713.99/x
  3. Step 3: Cross multiply
    5,185.43x = 7,771.43 × 2,713.99
  4. Step 4: Simplify right side
    5,185.43x = 21,091,569.74
  5. Step 5: Solve for x
    x = 21,091,569.74/5,185.43
  6. Step 6: Final answer
    x = 4,067.47

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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.