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Finding the Fourth Proportional to 3,633.78, 5,015.07 and 2,062.38

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Solution

The fourth proportional to 3,633.78, 5,015.07 and 2,062.38 is: 2,846.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,633.78 : 5,015.07 = 2,062.38 : x
  2. Step 2: Convert to fraction form
    3,633.78/5,015.07 = 2,062.38/x
  3. Step 3: Cross multiply
    3,633.78x = 5,015.07 × 2,062.38
  4. Step 4: Simplify right side
    3,633.78x = 10,342,980.07
  5. Step 5: Solve for x
    x = 10,342,980.07/3,633.78
  6. Step 6: Final answer
    x = 2,846.34

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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.