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Finding the Fourth Proportional to 5,842.76, 8,767.50 and 2,380.04

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Solution

The fourth proportional to 5,842.76, 8,767.50 and 2,380.04 is: 3,571.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,842.76 : 8,767.50 = 2,380.04 : x
  2. Step 2: Convert to fraction form
    5,842.76/8,767.50 = 2,380.04/x
  3. Step 3: Cross multiply
    5,842.76x = 8,767.50 × 2,380.04
  4. Step 4: Simplify right side
    5,842.76x = 20,867,000.70
  5. Step 5: Solve for x
    x = 20,867,000.70/5,842.76
  6. Step 6: Final answer
    x = 3,571.43

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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.