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Finding the Fourth Proportional to 3,675.96, 5,516.70 and 2,291.31

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Solution

The fourth proportional to 3,675.96, 5,516.70 and 2,291.31 is: 3,438.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,675.96 : 5,516.70 = 2,291.31 : x
  2. Step 2: Convert to fraction form
    3,675.96/5,516.70 = 2,291.31/x
  3. Step 3: Cross multiply
    3,675.96x = 5,516.70 × 2,291.31
  4. Step 4: Simplify right side
    3,675.96x = 12,640,469.88
  5. Step 5: Solve for x
    x = 12,640,469.88/3,675.96
  6. Step 6: Final answer
    x = 3,438.69

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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.