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Finding the Fourth Proportional to 5,711.80, 8,565.73 and 3,874.12

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Solution

The fourth proportional to 5,711.80, 8,565.73 and 3,874.12 is: 5,809.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,711.80 : 8,565.73 = 3,874.12 : x
  2. Step 2: Convert to fraction form
    5,711.80/8,565.73 = 3,874.12/x
  3. Step 3: Cross multiply
    5,711.80x = 8,565.73 × 3,874.12
  4. Step 4: Simplify right side
    5,711.80x = 33,184,665.91
  5. Step 5: Solve for x
    x = 33,184,665.91/5,711.80
  6. Step 6: Final answer
    x = 5,809.84

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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.