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Finding the Fourth Proportional to 4,313.80, 5,952.88 and 2,638

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Solution

The fourth proportional to 4,313.80, 5,952.88 and 2,638 is: 3,640.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,313.80 : 5,952.88 = 2,638 : x
  2. Step 2: Convert to fraction form
    4,313.80/5,952.88 = 2,638/x
  3. Step 3: Cross multiply
    4,313.80x = 5,952.88 × 2,638
  4. Step 4: Simplify right side
    4,313.80x = 15,703,697.44
  5. Step 5: Solve for x
    x = 15,703,697.44/4,313.80
  6. Step 6: Final answer
    x = 3,640.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.