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Finding the Fourth Proportional to 5,769.92, 7,958.40 and 5,683.52

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Solution

The fourth proportional to 5,769.92, 7,958.40 and 5,683.52 is: 7,839.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,769.92 : 7,958.40 = 5,683.52 : x
  2. Step 2: Convert to fraction form
    5,769.92/7,958.40 = 5,683.52/x
  3. Step 3: Cross multiply
    5,769.92x = 7,958.40 × 5,683.52
  4. Step 4: Simplify right side
    5,769.92x = 45,231,725.57
  5. Step 5: Solve for x
    x = 45,231,725.57/5,769.92
  6. Step 6: Final answer
    x = 7,839.23

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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.