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Finding the Fourth Proportional to 5,788.96, 7,990 and 3,692.72

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Solution

The fourth proportional to 5,788.96, 7,990 and 3,692.72 is: 5,096.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,788.96 : 7,990 = 3,692.72 : x
  2. Step 2: Convert to fraction form
    5,788.96/7,990 = 3,692.72/x
  3. Step 3: Cross multiply
    5,788.96x = 7,990 × 3,692.72
  4. Step 4: Simplify right side
    5,788.96x = 29,504,832.80
  5. Step 5: Solve for x
    x = 29,504,832.80/5,788.96
  6. Step 6: Final answer
    x = 5,096.74

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.