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Finding the Fourth Proportional to 3,874.38, 5,832.65 and 3,529.92

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Solution

The fourth proportional to 3,874.38, 5,832.65 and 3,529.92 is: 5,314.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,874.38 : 5,832.65 = 3,529.92 : x
  2. Step 2: Convert to fraction form
    3,874.38/5,832.65 = 3,529.92/x
  3. Step 3: Cross multiply
    3,874.38x = 5,832.65 × 3,529.92
  4. Step 4: Simplify right side
    3,874.38x = 20,588,793.64
  5. Step 5: Solve for x
    x = 20,588,793.64/3,874.38
  6. Step 6: Final answer
    x = 5,314.09

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.