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Finding the Fourth Proportional to 4,880.14, 6,734.54 and 2,641.97

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Solution

The fourth proportional to 4,880.14, 6,734.54 and 2,641.97 is: 3,645.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,880.14 : 6,734.54 = 2,641.97 : x
  2. Step 2: Convert to fraction form
    4,880.14/6,734.54 = 2,641.97/x
  3. Step 3: Cross multiply
    4,880.14x = 6,734.54 × 2,641.97
  4. Step 4: Simplify right side
    4,880.14x = 17,792,439.43
  5. Step 5: Solve for x
    x = 17,792,439.43/4,880.14
  6. Step 6: Final answer
    x = 3,645.89

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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.