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Finding the Fourth Proportional to 5,737.52, 8,609.92 and 2,450.64

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Solution

The fourth proportional to 5,737.52, 8,609.92 and 2,450.64 is: 3,677.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,737.52 : 8,609.92 = 2,450.64 : x
  2. Step 2: Convert to fraction form
    5,737.52/8,609.92 = 2,450.64/x
  3. Step 3: Cross multiply
    5,737.52x = 8,609.92 × 2,450.64
  4. Step 4: Simplify right side
    5,737.52x = 21,099,814.35
  5. Step 5: Solve for x
    x = 21,099,814.35/5,737.52
  6. Step 6: Final answer
    x = 3,677.51

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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.