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Finding the Fourth Proportional to 6,898.41, 9,519.79 and 3,754.60

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Solution

The fourth proportional to 6,898.41, 9,519.79 and 3,754.60 is: 5,181.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,898.41 : 9,519.79 = 3,754.60 : x
  2. Step 2: Convert to fraction form
    6,898.41/9,519.79 = 3,754.60/x
  3. Step 3: Cross multiply
    6,898.41x = 9,519.79 × 3,754.60
  4. Step 4: Simplify right side
    6,898.41x = 35,743,003.53
  5. Step 5: Solve for x
    x = 35,743,003.53/6,898.41
  6. Step 6: Final answer
    x = 5,181.34

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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.