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Finding the Fourth Proportional to 5,792.02, 8,692.23 and 3,938.74

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Solution

The fourth proportional to 5,792.02, 8,692.23 and 3,938.74 is: 5,910.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,792.02 : 8,692.23 = 3,938.74 : x
  2. Step 2: Convert to fraction form
    5,792.02/8,692.23 = 3,938.74/x
  3. Step 3: Cross multiply
    5,792.02x = 8,692.23 × 3,938.74
  4. Step 4: Simplify right side
    5,792.02x = 34,236,433.99
  5. Step 5: Solve for x
    x = 34,236,433.99/5,792.02
  6. Step 6: Final answer
    x = 5,910.97

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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.