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Finding the Fourth Proportional to 5,724.48, 7,899.82 and 3,206.68

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Solution

The fourth proportional to 5,724.48, 7,899.82 and 3,206.68 is: 4,425.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,724.48 : 7,899.82 = 3,206.68 : x
  2. Step 2: Convert to fraction form
    5,724.48/7,899.82 = 3,206.68/x
  3. Step 3: Cross multiply
    5,724.48x = 7,899.82 × 3,206.68
  4. Step 4: Simplify right side
    5,724.48x = 25,332,194.80
  5. Step 5: Solve for x
    x = 25,332,194.80/5,724.48
  6. Step 6: Final answer
    x = 4,425.24

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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.