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Finding the Fourth Proportional to 5,034.97, 6,946.32 and 3,711.82

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Solution

The fourth proportional to 5,034.97, 6,946.32 and 3,711.82 is: 5,120.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,034.97 : 6,946.32 = 3,711.82 : x
  2. Step 2: Convert to fraction form
    5,034.97/6,946.32 = 3,711.82/x
  3. Step 3: Cross multiply
    5,034.97x = 6,946.32 × 3,711.82
  4. Step 4: Simplify right side
    5,034.97x = 25,783,489.50
  5. Step 5: Solve for x
    x = 25,783,489.50/5,034.97
  6. Step 6: Final answer
    x = 5,120.88

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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.