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Finding the Fourth Proportional to 5,229.04, 7,847.38 and 4,000

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Solution

The fourth proportional to 5,229.04, 7,847.38 and 4,000 is: 6,002.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,229.04 : 7,847.38 = 4,000 : x
  2. Step 2: Convert to fraction form
    5,229.04/7,847.38 = 4,000/x
  3. Step 3: Cross multiply
    5,229.04x = 7,847.38 × 4,000
  4. Step 4: Simplify right side
    5,229.04x = 31,389,520
  5. Step 5: Solve for x
    x = 31,389,520/5,229.04
  6. Step 6: Final answer
    x = 6,002.92

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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.