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Finding the Fourth Proportional to 4,640.69, 6,962.81 and 2,793.08

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Solution

The fourth proportional to 4,640.69, 6,962.81 and 2,793.08 is: 4,190.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,640.69 : 6,962.81 = 2,793.08 : x
  2. Step 2: Convert to fraction form
    4,640.69/6,962.81 = 2,793.08/x
  3. Step 3: Cross multiply
    4,640.69x = 6,962.81 × 2,793.08
  4. Step 4: Simplify right side
    4,640.69x = 19,447,704.51
  5. Step 5: Solve for x
    x = 19,447,704.51/4,640.69
  6. Step 6: Final answer
    x = 4,190.69

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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.