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Finding the Fourth Proportional to 5,724.33, 7,899.77 and 3,206.67

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Solution

The fourth proportional to 5,724.33, 7,899.77 and 3,206.67 is: 4,425.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,724.33 : 7,899.77 = 3,206.67 : x
  2. Step 2: Convert to fraction form
    5,724.33/7,899.77 = 3,206.67/x
  3. Step 3: Cross multiply
    5,724.33x = 7,899.77 × 3,206.67
  4. Step 4: Simplify right side
    5,724.33x = 25,331,933.86
  5. Step 5: Solve for x
    x = 25,331,933.86/5,724.33
  6. Step 6: Final answer
    x = 4,425.31

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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.