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Finding the Fourth Proportional to 4,561.80, 6,834.21 and 2,608.08

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Solution

The fourth proportional to 4,561.80, 6,834.21 and 2,608.08 is: 3,907.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,561.80 : 6,834.21 = 2,608.08 : x
  2. Step 2: Convert to fraction form
    4,561.80/6,834.21 = 2,608.08/x
  3. Step 3: Cross multiply
    4,561.80x = 6,834.21 × 2,608.08
  4. Step 4: Simplify right side
    4,561.80x = 17,824,166.42
  5. Step 5: Solve for x
    x = 17,824,166.42/4,561.80
  6. Step 6: Final answer
    x = 3,907.27

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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.