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Finding the Fourth Proportional to 3,805.67, 5,699.28 and 2,632.38

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Solution

The fourth proportional to 3,805.67, 5,699.28 and 2,632.38 is: 3,942.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,805.67 : 5,699.28 = 2,632.38 : x
  2. Step 2: Convert to fraction form
    3,805.67/5,699.28 = 2,632.38/x
  3. Step 3: Cross multiply
    3,805.67x = 5,699.28 × 2,632.38
  4. Step 4: Simplify right side
    3,805.67x = 15,002,646.57
  5. Step 5: Solve for x
    x = 15,002,646.57/3,805.67
  6. Step 6: Final answer
    x = 3,942.18

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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.