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Finding the Fourth Proportional to 5,113.20, 7,668 and 1,825.80

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Solution

The fourth proportional to 5,113.20, 7,668 and 1,825.80 is: 2,738.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,113.20 : 7,668 = 1,825.80 : x
  2. Step 2: Convert to fraction form
    5,113.20/7,668 = 1,825.80/x
  3. Step 3: Cross multiply
    5,113.20x = 7,668 × 1,825.80
  4. Step 4: Simplify right side
    5,113.20x = 14,000,234.40
  5. Step 5: Solve for x
    x = 14,000,234.40/5,113.20
  6. Step 6: Final answer
    x = 2,738.06

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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.