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Finding the Fourth Proportional to 5,776.27, 7,971.07 and 3,258.36

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Solution

The fourth proportional to 5,776.27, 7,971.07 and 3,258.36 is: 4,496.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,776.27 : 7,971.07 = 3,258.36 : x
  2. Step 2: Convert to fraction form
    5,776.27/7,971.07 = 3,258.36/x
  3. Step 3: Cross multiply
    5,776.27x = 7,971.07 × 3,258.36
  4. Step 4: Simplify right side
    5,776.27x = 25,972,615.65
  5. Step 5: Solve for x
    x = 25,972,615.65/5,776.27
  6. Step 6: Final answer
    x = 4,496.43

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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.