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Finding the Fourth Proportional to 5,158.20, 7,740 and 4,879.38

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Solution

The fourth proportional to 5,158.20, 7,740 and 4,879.38 is: 7,321.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,158.20 : 7,740 = 4,879.38 : x
  2. Step 2: Convert to fraction form
    5,158.20/7,740 = 4,879.38/x
  3. Step 3: Cross multiply
    5,158.20x = 7,740 × 4,879.38
  4. Step 4: Simplify right side
    5,158.20x = 37,766,401.20
  5. Step 5: Solve for x
    x = 37,766,401.20/5,158.20
  6. Step 6: Final answer
    x = 7,321.62

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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.