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Finding the Fourth Proportional to 5,789.26, 7,971.78 and 5,233.60

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Solution

The fourth proportional to 5,789.26, 7,971.78 and 5,233.60 is: 7,206.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,789.26 : 7,971.78 = 5,233.60 : x
  2. Step 2: Convert to fraction form
    5,789.26/7,971.78 = 5,233.60/x
  3. Step 3: Cross multiply
    5,789.26x = 7,971.78 × 5,233.60
  4. Step 4: Simplify right side
    5,789.26x = 41,721,107.81
  5. Step 5: Solve for x
    x = 41,721,107.81/5,789.26
  6. Step 6: Final answer
    x = 7,206.64

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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.