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Finding the Fourth Proportional to 4,880.38, 6,734.92 and 2,642.27

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Solution

The fourth proportional to 4,880.38, 6,734.92 and 2,642.27 is: 3,646.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,880.38 : 6,734.92 = 2,642.27 : x
  2. Step 2: Convert to fraction form
    4,880.38/6,734.92 = 2,642.27/x
  3. Step 3: Cross multiply
    4,880.38x = 6,734.92 × 2,642.27
  4. Step 4: Simplify right side
    4,880.38x = 17,795,487.30
  5. Step 5: Solve for x
    x = 17,795,487.30/4,880.38
  6. Step 6: Final answer
    x = 3,646.33

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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.