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Finding the Fourth Proportional to 5,764.29, 7,954.73 and 3,246.39

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Solution

The fourth proportional to 5,764.29, 7,954.73 and 3,246.39 is: 4,480.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,764.29 : 7,954.73 = 3,246.39 : x
  2. Step 2: Convert to fraction form
    5,764.29/7,954.73 = 3,246.39/x
  3. Step 3: Cross multiply
    5,764.29x = 7,954.73 × 3,246.39
  4. Step 4: Simplify right side
    5,764.29x = 25,824,139.69
  5. Step 5: Solve for x
    x = 25,824,139.69/5,764.29
  6. Step 6: Final answer
    x = 4,480.02

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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.