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Finding the Fourth Proportional to 5,361.38, 8,042.01 and 1,897.82

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Solution

The fourth proportional to 5,361.38, 8,042.01 and 1,897.82 is: 2,846.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,361.38 : 8,042.01 = 1,897.82 : x
  2. Step 2: Convert to fraction form
    5,361.38/8,042.01 = 1,897.82/x
  3. Step 3: Cross multiply
    5,361.38x = 8,042.01 × 1,897.82
  4. Step 4: Simplify right side
    5,361.38x = 15,262,287.42
  5. Step 5: Solve for x
    x = 15,262,287.42/5,361.38
  6. Step 6: Final answer
    x = 2,846.71

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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.