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Finding the Fourth Proportional to 5,764.56, 7,954.44 and 3,246.48

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Solution

The fourth proportional to 5,764.56, 7,954.44 and 3,246.48 is: 4,479.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,764.56 : 7,954.44 = 3,246.48 : x
  2. Step 2: Convert to fraction form
    5,764.56/7,954.44 = 3,246.48/x
  3. Step 3: Cross multiply
    5,764.56x = 7,954.44 × 3,246.48
  4. Step 4: Simplify right side
    5,764.56x = 25,823,930.37
  5. Step 5: Solve for x
    x = 25,823,930.37/5,764.56
  6. Step 6: Final answer
    x = 4,479.77

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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.