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Finding the Fourth Proportional to 5,964.48, 8,940.24 and 2,880

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Solution

The fourth proportional to 5,964.48, 8,940.24 and 2,880 is: 4,316.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,964.48 : 8,940.24 = 2,880 : x
  2. Step 2: Convert to fraction form
    5,964.48/8,940.24 = 2,880/x
  3. Step 3: Cross multiply
    5,964.48x = 8,940.24 × 2,880
  4. Step 4: Simplify right side
    5,964.48x = 25,747,891.20
  5. Step 5: Solve for x
    x = 25,747,891.20/5,964.48
  6. Step 6: Final answer
    x = 4,316.87

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.