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Finding the Fourth Proportional to 5,407.38, 8,109.09 and 2,633.22

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Solution

The fourth proportional to 5,407.38, 8,109.09 and 2,633.22 is: 3,948.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,407.38 : 8,109.09 = 2,633.22 : x
  2. Step 2: Convert to fraction form
    5,407.38/8,109.09 = 2,633.22/x
  3. Step 3: Cross multiply
    5,407.38x = 8,109.09 × 2,633.22
  4. Step 4: Simplify right side
    5,407.38x = 21,353,017.97
  5. Step 5: Solve for x
    x = 21,353,017.97/5,407.38
  6. Step 6: Final answer
    x = 3,948.87

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.