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Finding the Fourth Proportional to 3,759.98, 5,632.68 and 2,771

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Solution

The fourth proportional to 3,759.98, 5,632.68 and 2,771 is: 4,151.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,759.98 : 5,632.68 = 2,771 : x
  2. Step 2: Convert to fraction form
    3,759.98/5,632.68 = 2,771/x
  3. Step 3: Cross multiply
    3,759.98x = 5,632.68 × 2,771
  4. Step 4: Simplify right side
    3,759.98x = 15,608,156.28
  5. Step 5: Solve for x
    x = 15,608,156.28/3,759.98
  6. Step 6: Final answer
    x = 4,151.13

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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.