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Finding the Fourth Proportional to 4,146.71, 5,727.94 and 3,072.17

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Solution

The fourth proportional to 4,146.71, 5,727.94 and 3,072.17 is: 4,243.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,146.71 : 5,727.94 = 3,072.17 : x
  2. Step 2: Convert to fraction form
    4,146.71/5,727.94 = 3,072.17/x
  3. Step 3: Cross multiply
    4,146.71x = 5,727.94 × 3,072.17
  4. Step 4: Simplify right side
    4,146.71x = 17,597,185.61
  5. Step 5: Solve for x
    x = 17,597,185.61/4,146.71
  6. Step 6: Final answer
    x = 4,243.65

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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.