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Finding the Fourth Proportional to 5,667.72, 7,820.33 and 3,309.41

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Solution

The fourth proportional to 5,667.72, 7,820.33 and 3,309.41 is: 4,566.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,667.72 : 7,820.33 = 3,309.41 : x
  2. Step 2: Convert to fraction form
    5,667.72/7,820.33 = 3,309.41/x
  3. Step 3: Cross multiply
    5,667.72x = 7,820.33 × 3,309.41
  4. Step 4: Simplify right side
    5,667.72x = 25,880,622.66
  5. Step 5: Solve for x
    x = 25,880,622.66/5,667.72
  6. Step 6: Final answer
    x = 4,566.32

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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.