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Finding the Fourth Proportional to 4,902.60, 7,340.81 and 2,589.24

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Solution

The fourth proportional to 4,902.60, 7,340.81 and 2,589.24 is: 3,876.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,902.60 : 7,340.81 = 2,589.24 : x
  2. Step 2: Convert to fraction form
    4,902.60/7,340.81 = 2,589.24/x
  3. Step 3: Cross multiply
    4,902.60x = 7,340.81 × 2,589.24
  4. Step 4: Simplify right side
    4,902.60x = 19,007,105.94
  5. Step 5: Solve for x
    x = 19,007,105.94/4,902.60
  6. Step 6: Final answer
    x = 3,876.94

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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.