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Finding the Fourth Proportional to 5,824.54, 8,737.20 and 3,500.38

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Solution

The fourth proportional to 5,824.54, 8,737.20 and 3,500.38 is: 5,250.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,824.54 : 8,737.20 = 3,500.38 : x
  2. Step 2: Convert to fraction form
    5,824.54/8,737.20 = 3,500.38/x
  3. Step 3: Cross multiply
    5,824.54x = 8,737.20 × 3,500.38
  4. Step 4: Simplify right side
    5,824.54x = 30,583,520.14
  5. Step 5: Solve for x
    x = 30,583,520.14/5,824.54
  6. Step 6: Final answer
    x = 5,250.80

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Why These Related Problems?

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